Question

Convert the given pair of fractions into the like fractions: $\frac{5}{9}$ and $\frac{3}{7}$

• A. $\frac{35}{63}and\frac{27}{63}$
• B. $\frac{27}{63}and\frac{35}{63}$
• C. $\frac{35}{9}and\frac{27}{7}$
• D. $\frac{27}{9}and\frac{35}{7}$

Answer 1

The correct option is A $\frac{35}{63}and\frac{27}{63}$

Like fractions have the same denominators.

To get the same denominators, we have to multiply the numerator and the denominator of the first fraction with 7 and the numerator and the denominator of the second fraction with 9.

$\frac{5}{9}=\frac{5\times 7}{9\times 7}=\frac{35}{63}$
$(\because \text{multiplying with the denominator 7 of the second fraction})$


$\frac{3}{7}=\frac{3\times 9}{7\times 9}=\frac{27}{63}$
$(\because \text{multiplying with the denominator 9 of the first fraction})$

$\therefore$ Option A is the correct answer.