|Decimals, Fractions and Percentages
Decimals, Fractions and Percentages are just different ways of showing the same value:
Here is a table of commonly occurring values shown in Percent, Decimal and Fraction form:
From Percent to Decimal
To convert from percent to decimal: divide by 100, and remove the “%” sign.
The easiest way to divide by 100 is to move the decimal point 2 places to the left. So:
From Decimal to Percent
To convert from decimal to percent: multiply by 100, and add a “%” sign.
The easiest way to multiply by 100 is to move the decimal point 2 places to the right. So:
From Fraction to Decimal
The easiest way to convert a fraction to a decimal is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)
Example: Convert 2/5 to a decimal
Divide 2 by 5: 2 ÷ 5 = 0.4
Answer: 2/5 = 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
From Fraction to Percentage
The easiest way to convert a fraction to a percentage is to divide the top number by the bottom number. then multiply the result by 100, and add the “%” sign.
Example: Convert 3/8 to a percentage
First divide 3 by 8: 3 ÷ 8 = 0.375,
Answer: 3/8 = 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