Decimals, Fractions and PercentagesDecimals, Fractions and Percentages are just different ways of showing the same value:
Example ValuesHere is a table of commonly occurring values shown in Percent, Decimal and Fraction form:
ConversionsFrom 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 decimalDivide 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 percentageFirst 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
