Decimals, Fractions and Percentages

From Fraction to Percentage

To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100%

Example: Convert 38 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375

Then multiply by 100%: 0.375 × 100% = 37.5%

Answer: 38 = 37.5%

From Percentage to Fraction

To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).

Example: To convert 80% to a fraction

Start with:

80%

First convert to a decimal (=80/100):

0.8

Write down the decimal "over" the number 1:

0.81

Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, and so on):

In this case multiply by 10:

0.8 × 101 × 10

Calculate:

810

Then Simplify the fraction:

881, 1305,882, 1306,883, 1307,884, 1308,885, 1309,886, 1310