Question

Pair of like fractions for the given fractions pair $\frac{3}{4}$ and $\frac{5}{6}$ is .

• A. $\frac{18}{4}\mathrm{and}\frac{20}{24}$
• B. $\frac{18}{24}\mathrm{and}\frac{20}{6}$
• C. $\frac{18}{24}\mathrm{and}\frac{20}{24}$
• D. $\frac{20}{15}\mathrm{and}\frac{15}{18}$

Answer 1

The correct option is C $\frac{18}{24}\mathrm{and}\frac{20}{24}$

Like fractions have same denominator. But here in the pair of fractions, $\frac{3}{4}$ and $\frac{5}{6}$, the denominators are different.

We need to make the denominators same and this can be made by multiplying the numerator and denominator of $\frac{3}{4}$ by 6 and $\frac{5}{6}$ by 4. So,

$\frac{3}{4}=\frac{3\times 6}{4\times 6}=\frac{18}{24}$
$\frac{5}{6}=\frac{5\times 4}{6\times 4}=\frac{20}{24}$


Hence, we get $\frac{18}{24}$ and $\frac{20}{24}$ as a pair of like fractions.