![]() ![]() You can revert a decimal to its original fraction by following the steps described below. However, it is common to encounter a repeating decimal in practical math when you convert fractions to percentages or decimals, and this reduces the accuracy of the calculation. You may wish to convert a fraction to a decimal to make adding and subtracting quantities more straightforward. The bar depicted above is presented above the repeating element of the numerical string. When a fraction is represented as a decimal, it can take the form of a terminating decimal for example: 380 % D.How to Convert Repeating Decimals to Fractions What will be the percentage value of the ratio of 53/14?Ī. What will be the percentage value of the ratio 223/72?Ī. Again repeat the process for 260/81 with 3 and remainder as 17. It will become 350/81 = 4 with 26 as a remainder. To find the remaining digits, add a zero to the remainder and divide it by 81. 440/81 will be 5% with 35 as a remainder. This can be found by calculating 4.4/81 through the normal process of multiplying the numerator by 100. ![]() You need to find those remaining digits now. So, now we have established that answer is somewhere between 60 and 70 %. In this question, to find the answer you need to remove all the 50%, 100%, 10%, 1%, and all such of the denominator from the numerator. What is the percentage value of the ratio 53/81? This also denotes that the difference between two ratios like x/4 – x/5 is integral only when x is divisible by 4 as well as 5. However, when you get used to the decimal values that are in the table, calculations will become a lot easier. ![]() Another use of this table is that in the process of division by any number such as 2, 3, 4, 5, 6, 7, and so on, candidates normally face difficulty in calculating the decimal values of these divisions. You can easily convert this values into decimals by shifting two places to the left. You will notice that the values given in the table are only percentage values. You can remember this table to solve any fractions related questions. The below table shows the value of percentage when you convert it from the fraction. So multiply 4 in the numerator as well as the denominator. When you multiply 25 by 4 it becomes 100. In this question also you need to make the base as 100 first and then you can convert the given digits into a percentage. So, 80% is your required answer.Ĭonvert 12/25 into a percentage. So multiply 20 in the denominator as well as the numerator. So you need to find the number with which when we multiply 5 it will become 100. Percent to Decimal or Fraction Conversion.Because of using decimals first you had the idea beforehand about the number of zeroes in the denominator. Remember that here you were asked to find the fraction of a decimal number. So it’s decimal will be 0.006 which is equal to 6/1000 = 3/500. Suppose you need to find a fraction of 0.6%. So you have determined that you need to put two zeroes in the denominator. You will start with the placing the decimals. The reason for following this approach is that you will be able to know how many zeroes you need to put in the denominator.įor example, you need to find the fraction of 106%. The easier way to remember this is whenever a digit is given and it is followed by percentage than place the decimal at two places from the left. Now, 0.25 can also be written as 25/100 which is equal to 1/4. This will simplify the process.įor example, suppose the percentage given is 25%. So to convert the percent to fraction initially you need to change the percentage to a decimal and then from decimal, you can convert it into a fraction. We all know that percentage means ‘out of a hundred’. ![]() When you convert the given percentage into fraction it is called percent to fraction. ![]()
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