Decimals, Fractions And Percentages - Math Is Fun

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Decimals, Fractions and Percentages

Decimals, Fractions and Percentages are just different ways of showing the same value:

pizza 1/2 A Half can be written... ... as a fraction: 12 ... as a decimal: 0.5 ... as a percentage: 50%
pizza 1/4 A Quarter can be written... ... as a fraction: 14 ... as a decimal: 0.25 ... as a percentage: 25%

Here, have a play with it yourself:

numbers/images/ani-frac-num-pct.js

Example Values

Here is a table of commonly used values shown in Percent, Decimal and Fraction form:

Percent Decimal Fraction
1% 0.01 1100
5% 0.05 120
10% 0.1 110
12½% 0.125 18
20% 0.2 15
25% 0.25 14
3313% 0.333... 13
50% 0.5 12
75% 0.75 34
80% 0.8 45
90% 0.9 910
99% 0.99 99100
100% 1
125% 1.25 54
150% 1.5 32
200% 2

Conversions!

From Percent to Decimal

To convert from percent to decimal divide by 100 and remove the % sign.

An easy way to divide by 100 is to move the decimal point 2 places left:

From Percent To Decimal
percent to decimal move the decimal point 2 places left

Don't forget to remove the % sign!

From Decimal to Percent

To convert from decimal to percent multiply by 100%

An easy way to multiply by 100 is to move the decimal point 2 places right:

From Decimal To Percent
decimal to percent move the decimal point 2 places right

Don't forget to add the % sign!

From Fraction to Decimal

To convert a fraction to a decimal divide the top number by the bottom number:

Example: Convert 25 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 25 = 0.4

From Decimal to Fraction

To convert a decimal to a fraction needs a little more work.

Example: To convert 0.75 to a fraction

Write down the decimal "over" the number 1: 0.751

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 100: 0.75 × 1001 × 100 Calculate:75100 Then Simplify the fraction: 34

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: 45 881, 1305,882, 1306,883, 1307,884, 1308,885, 1309,886, 1310 Introduction to Fractions Introduction to Decimals Introduction to Percentages Percentage Calculator Percentage Difference Fractions Index Decimals Index Percents Index

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