Question

(a) Write an equivalent fraction for $\frac{7}{9}$ with denominator as $63$.

(b) Write an equivalent fraction for $\frac{15}{9}$ having numerator as $5$.

Answer 1

Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified.
For example: equivalent fractions of $\frac{1}{2}$ are $\frac{2}{2},\frac{3}{6}$ and $\frac{4}{8}$.
(a). Given $\frac{7}{9}$ to get denominator as $63$,
We should multiply by $\frac{7}{7}$
$\Rightarrow \frac{7}{9}\times \frac{6}{6}=\frac{42}{63}$ is required equivalent fraction of given fraction.

(b) Given fraction $\frac{15}{9}$

Simplify as $\frac{5\times 3}{3\times 3}$$=\frac{5}{3}$ is the required equivalent fraction.