Fractions vs Decimals vs Percentages

percentages-jokeFractions, decimals and percentages are really just different ways of writing the same thing – namely the proportion of something. You just need to know how to convert between the three of them.


Decimals To Percentage

EASY! Just multiply the decimal by 100.

0.46 = 46%, 1.32 = 132% etc

Percentage To Decimal

EASY AGAIN! Just divide by 100.

82% = 0.82

Decimal To Fraction

NOT SO EASY! 

For most you can just put them over 10, 100 or 1000 etc depending on how many decimal places there are.

So 0.7 = 7/10
0.76 = 76/100
0.824 = 824/1000

Then you can simplify the fractions down.

If the decimal is recurring it gets tougher….see the Fractions and Recurring Decimals revision note.

Fraction To Decimal

Just divide the top by the bottom. So 7/20 = 7 ÷ 20 = 0.35