How Do You Turn a Percent Into a Fraction?

A percent is a value per 100
Drop the percent sign and write the value over 100
Multiply the numerator and denominator by multiples of 10 to get rid of the decimals
The number of places after the decimal tells you how many 0's your multiples of 10 should have
Divide the numerator and denominator by the greatest common factor to reduce

1. We can write each percent as its value over 100
1. 0.64% becomes 0.64/100
2. 47.2% becomes 47.2/100
3. 326% becomes 326/100
1. We want our fractions to be in the simplest form possible, so we need to get rid of the decimals in the numerator
1. 0.64 has two places after the decimal, so we need to multiply it by 100
2. In order to make sure the value of the fraction doesn't change, we need to multiply the denominator by 100 as well
3. 47.2 has one place after the decimal, so we need to multiply it by 10
4. Whatever we do to the top we need to do to the bottom, so we multiply the denominator by 10 as well
1. We need to divide the top and bottom by the greatest common factor of the two numbers
1. The greatest common factor of 64 and 10,000 is 16
2. The greatest common factor of 472 and 1,000 is 8
3. The greatest common factor of 326 and 100 is 2
4. Remember to divide by the same thing on both the top and the bottom to keep the value of the fraction the same
1. Rewrite the problem as a long division problem
2. 50 divides wholly into 163 3 times
3. 3 times 50 is 150
4. 163-150 gives us a remainder of 13
5. The 3 becomes the whole number for the mixed fraction
6. Put the remainder of 13 over the original denominator of 50 to get the fraction part

Write each percent as a fraction and simplify.