We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.Įach article will show you, step-by-step, how to convert a fraction into a percentage and will help students to really learn and understand this process. If you want to continue learning about how to convert fractions to percentages, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post. Practice Fractions to Percentage Using Examples For example, if you have calculated that. This completely free tool will let you create completely randomized, differentiated, percentafe problems to help you with your learning and understanding of percentages. Once you have calculated the decimal equivalent of the fraction, simply multiply it by 100 to get the percentage value. Whether you are a student, a parent, or a teacher, you can create your own percentage worksheets using our percentage worksheet generator. Like most math problems, percentages is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand. This makes a correctly formed fraction: 8 10. Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc): 0.8 × 10 1 × 10. ![]() Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand. Write down the decimal 'over' the number 1: 0.8 1. For every digit after the decimal point, multiply the numerator and denominator by 10. ![]() To write a percent with a decimal as a fraction, follow these steps: Remove the percentage sign and write the remaining number as a fraction out of 100. We can see that this gives us the exact same answer as the first method: 2/3 as a percentage is 66.67%.īoth methods of converting a fraction to a percentage are pretty straightward and can be applied to any fraction easily when you have learned and memorized the steps involved. How do you convert a fraction to a percent Divided the numerator by the denominator (to make a decimal), then multiply by 100. How to Write a Percent with a Decimal as a Fraction. To simplify: 23/38 0.60526315789473684210526315789474 or about 60. Since "per cent" means parts per hundred, if we can convert the fraction to have 100 as the denominator, we then know that the top number, the numerator, is the percentage. For example, to convert 17 to a fraction, put 17 over 100, like this: 17/100. The first method we have is to convert the fraction so that the denominator is 100. To change a percent to a fraction, put the percentage over 100 (after removing the sign) and simplify if necessary. This is important to remember when converting percentages to fractions and decimals. Per cent - "per cent" means parts per hundred, so saying 50%, for example, is the same as the fraction 50 100 or 5 10.Ĭonvert 2/3 to Percentage by Changing Denominator Key points Percentages are always out of 100.Denominator - this is the number below the fraction line.Numerator - this is the number above the fraction line.The first step is to make sure we understand all of the terms in the problem we are trying to solve: To change a fraction to a percentage, you can divide the numerator by the denominator then multiply the result by 100. Convert the fraction to a decimal first, then multiply the answer by 100. ![]()
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