Learn how to convert 1.2 decimal number to fraction form and as a mixed number with steps. Find out the simplified form of 1.2 as a fraction is 6/5 and the steps to get there.Answer: 1.2 as a fraction is 6/5. Decimals and Fractions. The decimal 1.2 can be converted into a fraction by recognizing that the 2 is in the tenths place. Thus, it is equivalent to 12/10, which simplifies to 6/5. FAQ on Decimals and Fractions What is 0.4 as a fraction? 0.4 as a fraction is 2/5. What is 0.8 as a fraction? 0.8 as a fraction is 4/5. To visualize the question we are trying to solve, let's put 1/2 and 6 side-by-side so it's easier to see: 1 2 ÷ 6. So here is the incredibly easy way to figure out what 1/2 divided by 6 is. All we need to do here is keep the numerator exactly the same (1) and multiple the denominator by the whole number: 1 2 x 6 = 1 12. 2.33 2.33. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 2 numbers to the right of the decimal point, place the decimal number over 102 10 2 (100) ( 100). Next, add the whole number to the left of the decimal. 2 33 100 2 33 100.The below solved example with step by step calculation shows how to perform fraction 2/3 as a decimal conversion manually. step 1 Address the input parameters and observe what to be found: Input values: The fraction = 2/3. What to be found: Find the decimal expansion of fraction 2/3. step 2 The numerator is smaller than the denominator of the ...May 24, 2022 ... In this video, you will easily understand how to convert 1.2 as a fraction. I have explained a very easy way of decimal to fraction ...In this video, you will easily understand how to convert 1.2 as a fraction.I have explained a very easy way of decimal to fraction conversion. May 24, 2022 ... In this video, you will easily understand how to convert 1.2 as a fraction. I have explained a very easy way of decimal to fraction ...In this video, you will easily understand how to convert 1.2 as a fraction.I have explained a very easy way of decimal to fraction conversion. This free fraction calculator supports fraction addition, subtraction, multiplication, division, and conversion. home / math / fraction calculator. ... 1: 2: for example. To convert this fraction into a decimal, first convert it into the fraction of . 5: 10. Knowing that the first decimal place represents 10-1, 5: 10: can be converted to 0.5. If the fraction were …Calculator Use. Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries: Fraction - like 2/3 or 15/16. Mixed number - like 1 1/2 …Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step Question 2: Convert 7.15 into a fraction. Solution: Given, 7.15 is a decimal number. Multiply and divide 7.15 by 100. 7.15 × 100/100 = 715/100. If we simplify it more, we get; 143/20. We can also find the equivalent fractions by multiplying the numerator and denominator by 2. Such as; 143×2/20×2 = 286/40.© burdun - stock.adobe.com Because most mold spores are microscopic, when you find those fuzzy splotches on the wall, you see only a fraction of the mold Expert Advice On Improving...May 30, 2023 · Example 1.2.8 1.2. 8. Simplify 120 252 120 252. Answer. Steps to solve the example. Step 1: Write out the factor trees. Step 2: Rewrite the fraction as a product (multiplication) of primes on the top and bottom. 120 252 = 3 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 2 2 ⋅ 2 ⋅ 3 ⋅ 7 ⋅ 3 120 252 = 3 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 2 2 ⋅ 2 ⋅ 3 ⋅ 7 ⋅ 3. Multiply both the numerator and denominator by 10 for each digit after the decimal point. 0.1 1. =. 0.1 x 10 1 x 10. =. 1 10. As a side note the whole number-integral part is: empty. The decimal part is: .1 = 1 / 10. Full simple fraction breakdown: 10/100.Learn how to convert 1.2 as a fraction with a simple formula and a step-by-step guide. Find the reduced fractional number equivalent of 1.2 and the reference for the conversion.The terminology for these fractions ("vulgar fractions") seems very judgemental to me. Fraction: 0.250 Vugar Fraction: ¼ or 1/4 Fraction: 0.750 Vulgar Fraction: ¾ or 3/4 Note: This site allows me to use the ascii symbol for 3/4 but not the ascii symbol for 7/8. So sometimes it is the software and sometimes it is the available font. I …Converting fractions to decimals allows for easier calculations, more precise measurements, and compatibility with decimal-based systems and tools. What is 4 ⁄ 5 as a decimal? The decimal equivalent of 4/5 is 0.8.The affordable Defiant Smart Hubspace Wi-Fi Deadbolt offers peace of mind and convenience with its keyless entry. Expert Advice On Improving Your Home Videos Latest View All Guides...For dividing the fraction a/b and c/d the reciprocal of c/d is d/c. You then multiply the first fraction by the reciprocal of the second fraction. a/b ÷ c/d =a/b x d/c = a*d / b*c. Example 2: For dividing the fractions 1/5 and 15/4. 1/5 ÷ 15/4 = 1/5 x 4/15 = 4/75. The answer is 4/75. This answer is already in its simplest form.Convert decimal 0.05 to a fraction. 0.05 = 1 / 20 as a fraction Step by Step Solution. To convert the decimal 0.05 to a fraction follow these steps: Step 1: Write down the number as a fraction of one:. 0.05 = 0.05 / 1 Step 2: Multiply both top and bottom by 10 for every number after the decimal point:. As we have 2 numbers after the decimal point, we …Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF. Step 4: Simplify the remaining fraction to a mixed number fraction if possible. Example: Convert 2.625 to a fraction. 1. Rewrite the decimal number number as a fraction (over 1)In our case 375 is 3 digits long so we need to multiply the numerator and denominator by 1000. Now we just need to do that multiplication to get our whole fraction: 1.375 x 1000 1 x 1000 = 1375 1000. The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF).This free fraction calculator supports fraction addition, subtraction, multiplication, division, and conversion. home / math / fraction calculator. ... 1: 2: for example. To convert this fraction into a decimal, first convert it into the fraction of . 5: 10. Knowing that the first decimal place represents 10-1, 5: 10: can be converted to 0.5. If the fraction were …0.94 0.94. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 2 numbers to the right of the decimal point, place the decimal number over 102 10 2 (100) ( 100). Next, add the whole number to the left of the decimal. 0 94 100 0 94 100. Reduce the fraction. Tap for more steps... 47 50 47 50.To find 1.2 or one and two-tenths as a fraction, we place the numerator over the denominator of 10: 1.2 = 12/10. We now simplify by dividing the... See full answer below. Answer: 1.2 as a fraction is 6/5. Decimals and Fractions. The decimal 1.2 can be converted into a fraction by recognizing that the 2 is in the tenths place. Thus, it is equivalent to 12/10, which simplifies to 6/5. FAQ on Decimals and Fractions What is 0.4 as a fraction? 0.4 as a fraction is 2/5. What is 0.8 as a fraction? 0.8 as a fraction is 4/5. You can use this repeating decimal to fraction conversion calculator to revert a repeating decimal to its original fraction form. Simply input the repeating part of the decimal (the repetend) and its non-repeating part (where applicable). For instance, if you are converting 0. 6 to 2/3, leave the non-repeating field blank. Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and ...The #1 online fraction calculator. Easily add, subtract, multiply, divide and simplify fractions. Because math with fractions can be difficult, we developed the fraction calculator. Fill in your two fractions below (the numerator above the line and the denominator below the line) and submit if you want to add, subtract, multiply or divide. Indices Commodities Currencies StocksHow to convert 1.2 cm to inches. We will give you the fractional answer, the decimal answer, and illustrate the answer on a measuring tape.Convert decimal 0.05 to a fraction. 0.05 = 1 / 20 as a fraction Step by Step Solution. To convert the decimal 0.05 to a fraction follow these steps: Step 1: Write down the number as a fraction of one:. 0.05 = 0.05 / 1 Step 2: Multiply both top and bottom by 10 for every number after the decimal point:. As we have 2 numbers after the decimal point, we …Learn how to write 1.2 as a fraction of one, multiply by 10, simplify and reduce it to the simplest form. See step-by-step solutions, examples and a chart of equivalent fractions for 1.2. as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. This decimal to fraction calculator outputs the result as both a mixed fraction and a simple fraction. For example, the decimal 2.5 as a fraction is 2 1/2 (mixed fraction) and also 5/2 (as a simple fraction). Likewise, converting 1.25 into fraction gives 1 1/4 which is the same as 5/4. Any number can be written as a fraction quite simply - just divide it by 1: 1.5 =. 1.5. 1. Next we need to get rid of the decimal part in our numerator so that the numerator in our fraction becomes a whole number. To do so we need to multiply both numerator and denominator by 10 (because there are 1 digits after the decimal point in the number ...Feb 5, 2024 · Transforming a distance in its decimal form to its fraction inches is almost the same as converting any decimal to a regular fraction. Almost. ... 1⁄2" 0.5. 12.7 ... Algebra. 87.5% 87.5 %. Convert the percentage to a fraction by placing the expression over 100 100. Percentage means 'out of 100 100 '. 87.5 100 87.5 100. Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is 1 1 number to the right of the decimal point, move the decimal ...Convert decimal 0.05 to a fraction. 0.05 = 1 / 20 as a fraction Step by Step Solution. To convert the decimal 0.05 to a fraction follow these steps: Step 1: Write down the number as a fraction of one:. 0.05 = 0.05 / 1 Step 2: Multiply both top and bottom by 10 for every number after the decimal point:. As we have 2 numbers after the decimal point, we …For calculation, here's how to convert 2.66666667 as a Fraction using the formula above, step by step instructions are given below. Take only after the decimal point part for calculation. Then, divide that value by 1. Multiply both numerator and denominator by 100000000 (because there are 8 digits after the decimal point so that is 10 8 ...25/5 10/5 = 5 2. And there you have it! In just a few short steps we have figured out what 2.5 is as a fraction. The complete answer for your enjoyment is below: 2 1/2. Note: because 25 is greater than 10 we have simplified this fraction even further to a mixed fraction.The Casio FX-260 is a solar-powered calculator suitable for general calculations. It does not require batteries, and comes with a slide-on hard case to protect the front keypad and...1.2 as 1.2 1. Step 2. We now multiply both the numerator and the denominator by the power of 10 for every digit there is after the decimal point. We can write this as: 1.2 1 = 1.2 x 10 1 x 10 = 12 10. Step 3. Reduce the fraction into its simplest form, which is when the numerator and denominator cannot be any smaller. 1.45 1.45. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 2 numbers to the right of the decimal point, place the decimal number over 102 10 2 (100) ( 100). Next, add the whole number to the left of the decimal. 1 45 100 1 45 100. Reduce the fractional part of the mixed number.0.54 0.54. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 2 numbers to the right of the decimal point, place the decimal number over 102 10 2 (100) ( 100). Next, add the whole number to the left of the decimal. 0 54 100 0 54 100. Reduce the fraction. Tap for more steps... 27 50 27 50.Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Number Line Mean, Median & Mode. ... 1: 2: 3-\pi: e: x^{\square} 0. \bold{=} + Go. Steps Graph Related Examples. Verify your Answer. Subscribe to verify your answer Subscribe Save to Notebook! Sign in to save notes Sign …Rules for expressions with fractions: Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100.If you use mixed numbers, leave a space between the whole and fraction parts. Mixed numerals (mixed numbers or fractions) keep one space between the integer and fraction and use a …The best alternatives to Robinhood we share here allow you to invest in whole or fractional shares of stocks and ETFs for as little as $1. Home Investing Robinhood is one of the m...So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4. 1 ÷ 4 = 0.25. 2. Multiply by 100 to convert decimal number to percent. 0.25 × 100 = 25%. You can reduce a fraction before converting to a decimal but it's not necessary because the answer will be the same.That's a lot of iPhones. In a little bit more than a decade, Apple has sold 1.17 billion iPhones, the company announced today in its third-quarter earnings report. Just over a year...To convert part-to-part ratios to fractions: Use the total number as the denominator: 6 + 8 = 14. Use each of the ratio terms as the numerator in a fraction: 6 becomes 6/14. 8 becomes 8/14. Reduce each fraction to lowest terms: 6/14 simplifies to 3/7. 8/14 simplifies to 4/7. The part-to-part ratio 6 : 8 converts into the fractions:For calculation, here's how to convert 1.25 as a Fraction using the formula above, step by step instructions are given below. Take only after the decimal point part for calculation. Then, divide that value by 1. Multiply both numerator and denominator by 100 (because there are 2 digits after the decimal point so that is 10 2 = 100). This is a Real-time headline. These are breaking news, delivered the minute it happens, delivered ticker-tape style. Visit www.marketwatch.com or ... Indices Commodities Currencies...Fraction form = 3/50. Decimal form = 0.06. Advertisement Advertisement New questions in Math. Factor of 8,9,15,30 6 more than -11. chapter = integers and negative numbers. One cm is equal to 10 mm. How many square mm are there in one square cm? 8. The probability of a child getting 100 marks in maths is 0.9 and the probability of not …Algebra. 1.4 1.4. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 1 number to the right of the decimal point, place the decimal number over 101 10 1 (10) ( 10). Next, add the whole number to the left of the decimal. 1 4 10 1 4 10.Learn how to convert 1.2 decimal number to fraction form and as a mixed number with steps. Find out the simplified form of 1.2 as a fraction is 6/5 and the steps to get there.Algebra. 1.4 1.4. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 1 number to the right of the decimal point, place the decimal number over 101 10 1 (10) ( 10). Next, add the whole number to the left of the decimal. 1 4 10 1 4 10.Aug 14, 2022 · In order to express 1.2 as a fraction, or any decimal as a fraction, we need to first get it to a whole number over a whole number. In this case if we consi... Now that we know how to multiply fractions, we are almost ready to divide. Before we can do that, we need some vocabulary. The reciprocal of a fraction is found by inverting the fraction, placing the numerator in the denominator and the denominator in the numerator.The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\).Any number can be written as a fraction quite simply - just divide it by 1: 1.5 =. 1.5. 1. Next we need to get rid of the decimal part in our numerator so that the numerator in our fraction becomes a whole number. To do so we need to multiply both numerator and denominator by 10 (because there are 1 digits after the decimal point in the number ...If it's bond length is equal to 10 − 10 m, then the fraction of an electronic charge on each atom will be : View Solution. Q2. A diatomic molecule has a dipole moment equal to 1.2 D.This calculator converts decimals to fractions. Enter the decimal number below to see it in simplified fraction form. Decimal Examples: .27, 7.91, 0.86, 12.42How to convert a decimal number to it's equivalent fraction. When the number has no repeating decimal portion, the numerator of the equivalent fraction is obtained by removing the dot from the number, and the denominator is '1' followed by the same number of 0's as the length of the decimal portion.. For example the number 12.4 is equal to 124 divided …1.5 as a fraction equals 15/10 or 3/2. To convert 1.5 into a fraction, here are the steps. Multiply both the numerator and denominator by 10 for each digit after the decimal point. In order to reduce the fraction find the Greatest Common Factor (GCF) for 15 and 10. Keep in mind a factor is just a number that divides into another number without ...Medicine Matters Sharing successes, challenges and daily happenings in the Department of Medicine ARTICLE: Endomyocardial Biopsy Characterization of Heart Failure With Preserved Ej...That's a lot of iPhones. In a little bit more than a decade, Apple has sold 1.17 billion iPhones, the company announced today in its third-quarter earnings report. Just over a year...Simplify the fraction: 4 8 = 1 2. Fractions and Whole Numbers. What about division with fractions and whole numbers? Make the whole number a fraction, by putting it over 1. Example: 5 is also 5 1. Then continue as before. Example: 2 3 ÷ 5. Make 5 into 5 1: 2 3 ÷ 5 1. Then continue as before. Step 1. Turn the second fraction upside down (the …The #1 online fraction calculator. Easily add, subtract, multiply, divide and simplify fractions. Because math with fractions can be difficult, we developed the fraction calculator. Fill in your two fractions below (the numerator above the line and the denominator below the line) and submit if you want to add, subtract, multiply or divide. Equivalent fraction for 1.3 percent. 1.3 = 13 / 10 = 1 3 / 10 as a fraction Step by Step Solution. To convert the decimal 1.3 to a fraction follow these steps: Step 1: Write down the number as a fraction of one:. 1.3 = 1.3 / 1 Step 2: Multiply both top and bottom by 10 for every number after the decimal point:. As we have 1 numbers after the decimal point, we …Rules for expressions with fractions: Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100.If you use mixed numbers, leave a space between the whole and fraction parts. Mixed numerals (mixed numbers or fractions) keep one space between the integer and fraction and use a …© burdun - stock.adobe.com Because most mold spores are microscopic, when you find those fuzzy splotches on the wall, you see only a fraction of the mold Expert Advice On Improving...Learn how to convert 1.2 as a fraction in the form of 6/5 with a simple explanation and step-by-step solution. Find out the logic and the math behind this conversion and explore …To convert part-to-part ratios to fractions: Use the total number as the denominator: 6 + 8 = 14. Use each of the ratio terms as the numerator in a fraction: 6 becomes 6/14. 8 becomes 8/14. Reduce each fraction to lowest terms: 6/14 simplifies to 3/7. 8/14 simplifies to 4/7. The part-to-part ratio 6 : 8 converts into the fractions:Please enter your repeating decimal number below to get started: Here are some examples of what our Decimal Repeating as a Fraction Calculator can explain and calculate for you: 1.21 repeating as a fraction. 0.8 repeating as a fraction. 1.3 repeating as a fraction. 0.2 repeating as a fraction. 0.16 repeating as a fraction.Fractions are widely used not only in mathematics but also in daily life. For example: When a vegetable is cut into half, each separate part of the vegetable is ½ of the full vegetable. 1/2 . The top and bottom parts of a fraction are called numerator and denominator respectively. How to solve fractions? One can use a fraction calculator to perform arithmetic …For calculation, here's how to convert 1.4 as a Fraction using the formula above, step by step instructions are given below. Take only after the decimal point part for calculation. Then, divide that value by 1. Multiply both numerator and denominator by 10 (because there are 1 digits after the decimal point so that is 10 1 = 10).Reducing fractions is simply done by dividing both the numerator and denominator by the same number. Example 1.2.1. Reduce 36 84. 36 84 Both the numerator and the denominator are divisible by 4. 36÷4 84÷4 = 9 21 Both the numerator and the denominator are divisible by 3. 9÷3 21÷3 = 3 7 Solution. The previous example could have been done …
Any number can be written as a fraction quite simply - just divide it by 1: 0.9 =. 0.9. 1. Next we need to get rid of the decimal part in our numerator so that the numerator in our fraction becomes a whole number. To do so we need to multiply both numerator and denominator by 10 (because there are 1 digits after the decimal point in the number .... Octavia saint laurent
Ratios as Fractions in Simplest FormPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios...Learn the steps to turn 1.2 into a fraction, with examples and explanations. Find out how to simplify the fraction and explore other values to fractions. as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. Step 1: Enter the fraction you want to simplify. The Fraction Calculator will reduce a fraction to its simplest form. You can also add, subtract, multiply, and divide fractions, …124 − 79. 124 ÷ 89. 124 + 89 × 315 − 1026. Learn about fractions using our free math solver with step-by-step solutions. Step by step work for how to convert 1.2 in fraction form to understand the calculation. step 1 Input values: The decimal number = 1.2 What to be found: What is 1.2 as a fraction in simplest form? step 2 Write 1.2 as a simple fraction. 1.2/1 step 3 Find how many 10s should be multiplied with both numerator and denominator. So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4. 1 ÷ 4 = 0.25. 2. Multiply by 100 to convert decimal number to percent. 0.25 × 100 = 25%. You can reduce a fraction before converting to a decimal but it's not necessary because the answer will be the same.as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. The first step to converting 1.2 to a fraction is to re-write 1.2 in the form p/q where p and q are both positive integers. To start with, 1.2 can be written as simply 1.2/1 to technically …as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. Inch [in] is a unit of length for the Imperial and US customary system of units. It was historically conceived as the length of 3 barley-corns. Today, it is defined through the meter SI unit as: 1 in = 0.0254 m (= 2.54 cm = 25.4 mm). Multiple units of the inch are defined as shown in the table: Unit.As a fraction, 1.25 can be written as 1 1 /4 or 5/4. The number 1 1/4 is called a mixed fraction and 5/4 is an improper fraction. Another way to find the answer is to use an online...Basic Math Examples. 66 2 3 % 66 2 3 %. Convert the percentage to a fraction by placing the expression over 100 100. Percentage means 'out of 100 100 '. 662 3 100 66 2 3 100. Reduce the fraction. Tap for more steps...To find the reciprocal of a decimal, you need to do the same as before - divide 1 by your decimal number. Example: the reciprocal of 3.25 is 1/3.25. Additionally, our reciprocal calculator will show you the fraction in its simplified form. Remember that 0 doesn't have the reciprocal, as 1/0 is undefined.The $1.2 billion deal should give Michael Kors an upmarket foothold to stabilize its business. Michael Kors is doing a little shopping. The American clothing and handbag brand is a...Algebra. 1.2 1.2. Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 1 number to the right of the decimal point, place the decimal number over 101 10 1 (10) ( 10). Next, add the whole number to the left of the decimal. 1 2 10 1 2 10. 1.5 as a fraction equals 15/10 or 3/2. To convert 1.5 into a fraction, here are the steps. Multiply both the numerator and denominator by 10 for each digit after the decimal point. In order to reduce the fraction find the Greatest Common Factor (GCF) for 15 and 10. Keep in mind a factor is just a number that divides into another number without ...Step by step work for how to convert 1.2 in fraction form to understand the calculation. step 1 Input values: The decimal number = 1.2 What to be found: What is 1.2 as a fraction in simplest form? step 2 Write 1.2 as a simple fraction. 1.2/1 step 3 Find how many 10s should be multiplied with both numerator and denominator. To convert fractional inch to mm or cm, fill fraction into the blank Fractional inch, e.g. 2 1/2" = 2.5" To convert decimal inch to fractional inch, fill decimal inch into the blank Decimal inch. e.g. 3.25" = 3 1/4" Adjusting this virtual ruler to actual size. The diagonal screen is 15.6"(inches) of my laptop computer, resolution is 1366x768 ... .