# Converting Decimals to Fractions and Percentages

## Converting Decimals to Fractions and Percentages

The processes for converting decimal numbers to fractions and percentages are both fairly simple, so I’ll demonstrate both on each of these examples here. First we have .35, to convert .35 to a fraction we will write the two digits in here as the numerator and we’ll take a look at the rightmost digit.

The right most digit is two decimal places to the right of the decimal, so we’re going to write two zeros in the denominator so we have 35 over 100. This can be reduced by dividing both the top and the bottom by 5, 35 over 5 is 7. 100 over 5 is 20. So this is equal to 7 over 20.

To convert a decimal to a percentage all we have to do is move the decimal point two places to the right. So 0.35 is equal to 35%. In the second example we have .215. Once again we’ll write 2 1 5 as our numerator the rightmost digit is three places to the right of the decimal, so we will write three zeros in our denominator 215 over 1000.

We can divide top and bottom by 5, so 215 over 5 is equal to 43 and 1000 over five is equal to 200. So, this fraction is the same as 43 over 200. To convert to a percentage we can just move the decimal point two places to the right, so 0.215 is equal to 21.5%.

And this final example we have .842, we will once again write these digits as our numerator. The rightmost digit is three places to the right of decimal, so we will once again add three zeroes in our denominator. 842 over 1000, we can reduce it by dividing the top and bottom by 2 842 over 2 is 421 and 1000 over 2 is 500.

So this fraction reduces to 421 over 500. To convert to a percentage once again we’ll just move the decimal point two places to the right, So 0.842 is equal to 84.2%.

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Last updated: 10/03/2018