How do you find a fraction of a fraction?

Answer 1

you take the numerator of the second fraction and divide it by the denominator of the first fraction

you take the answer from that equation and then multiply by the numerator of the first fraction.

the denominator for your final answer will be the same as the denominator of the second fraction

Example

1/2 of 4/5

4 divided by 2 = 2

2 x 1 = 2

1/2 of 4/5 = 2/5

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I have found a simpler way is to just multiply both fractions, e.g.

1/2 x 4/5

so do that top row first; 1 x 4 = 4

then do the bottom row; 2 x 5 = 10

this leaves you with 4/10

if you then rationalise that fraction to its smallest level (you can divide both top and bottom by 2) this results in 2/5

Answer 2

5/9 of 1/2