Fractions of amounts (11+)

Find ¾, ⅖ etc of a quantity. Find the whole when given a fraction.

Method: divide by the denominator, multiply by the numerator. ¾ of 100 = (100 / 4) × 3 = 75. Reverse: if ¾ of N = 75, then ¼ of N = 25, so N = 100.

Worked examples

⅖ of 60 = 24.

⅜ of 40 = 15.

If ⅚ of N = 25, then N = 30.

Frequently asked questions

Improper fractions of amounts?

Convert to mixed first. &frac74; of 20 = (20/4) × 7 = 35.

Fraction-decimal-percentage?

Switch fluently. ¾ = 0.75 = 75%. Pick the easiest representation per question.