Decimals, Fractions and Percentages

Decimals, Fractions and Percentages are just different slipway of showing the same respect:

pizza 1/2

A One-half can constitute scrawled...

... as a divide: 1 2

... as a decimal: 0.5

... as a percentage: 50%


pizza 1/4

A Quarter nates be written...

... atomic number 3 a fraction: 1 4

... equally a decimal: 0.25

... arsenic a percentage: 25%

Here, have a play with it yourself:

numbers/images/ani-frac-num-per centum.js

Example Values

Hera is a table of ordinarily used values shown in Per centum, Decimal fraction and Fraction form:

Per centum Decimal fraction Divide
1% 0.01 1/100
5% 0.05 1/20
10% 0.1 1/10
12½% 0.125 1/8
20% 0.2 1/5
25% 0.25 1/4
33 1/3 % 0.333... 1/3
50% 0.5 1/2
75% 0.75 3/4
80% 0.8 4/5
90% 0.9 9/10
99% 0.99 99/100
100% 1
125% 1.25 5/4
150% 1.5 3/2
200% 2

Conversions!

From Percent to Quantitative

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

An easy way of life to divide by 100 is to go on the decimal point 2 places to the left:

From Percent To Decimal
percent to decimal go up the percentage point 2 places to the left

Don't forget to remove the % sign!

From Decimal to Percent

To exchange from decimal to percent multiply by 100%

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

From Decimal To Per centum
decimal to percent relocation the percentage point 2 places to the right

 Don't block to bring the % sign!

From Fraction to Decimal

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

Illustration: Convert 2 5 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 2 5 = 0.4

From Decimal fraction to Fraction

To convert a decimal to a fraction needs a trifle many work.

Example: To exchange 0.75 to a fraction

Stairs Example
First, get down the decimal "over" the count 1:

0.75 1

Multiply top and seat by 10 for every list after the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.75 × 100 1 × 100

This makes a aright formed fraction:

75 100

Then Simplify the fraction:

3 4

From Fraction to Percentage

To change over a fraction to a percentage divide the top number by the bottom number, then multiply the effect aside 100%

Deterrent example: Convince 3 8 to a percentage

World-class divide 3 by 8: 3 ÷ 8 = 0.375

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

Answer: 3 8 = 37.5%

From Percentage to Fraction

To convert a per centum to a fraction, first convert to a decimal (divide past 100), then use the steps for converting quantitative to fractions (like above).

Example: To change over 80% to a fraction

Steps Example
Convert 80% to a decimal fraction (=80/100):

0.8
Write down the quantitative "over" the number 1:

0.8 1

Multiply top and worst by 10 for every number afterward the quantitative point (10 for 1 number,100 for 2 numbers, etc):

0.8 × 10 1 × 10

This makes a correctly bottle-shaped fraction:

8 10

Then Simplify the divide:

4 5

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