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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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