# fractions, decimals and percents

## Converting fractions to decimals

Numerator × Denominator

## decimals to fractions

place the decimal over its place value

## fractions to percents

divide numerator by denominator and multiply result by 100

## percent to fraction

put number over 100 (remove % sign) simplify if necessary

## decimals to percents

Multiply by 100

## percents to decimals

divide by 100

## Percentages more than 100

Since 100% = 1/1, percentages greater than 100% have a value greater than 1

## Percentages less than 1

Percentages less than 1 have a value less than 1%

## finding the percentage a quantity represents to a whole

4/5=80 etc.

## finding percents of a number

1) × by the number given

2) turn into decimal

## finding a number given the percent

divide by the number given