Find a fraction equivalent to the given fraction using division.

(a) $ \frac{15}{20} $
(b) $ \frac{8}{16} $
(c) $ \frac{32}{56} $

Given: 

$\frac{15}{20}$, $\frac{8}{16}$ and $\frac{32}{56}$.

To find:

We have to find a fraction equivalent to a given fraction using division.

Solution:

To solve problems like this we will write the numbers as a product of their prime factors and then we will divide the common factors:

$(a)\ \frac{15}{20} \ =\ \frac{3\ \times \ 5}{2\ \times \ 2\ \times \ 5} \ =\ \mathbf{\frac{3}{4}}$

$(b)\ \frac{8}{16} \ =\ \frac{2\ \times \ 2\ \times \ 2}{2\ \times \ 2\ \times \ 2\ \times \ 2} \ =\ \mathbf{\frac{1}{2}}$

$(c)\ \frac{32}{56} \ =\ \frac{2\ \times \ 2\ \times \ 2\ \times \ 2\ \times \ 2}{2\ \times \ 2\ \times \ 2\ \times \ 7} \ =\ \mathbf{\frac{4}{7}}$

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Updated on: 10-Oct-2022

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