Question

Convert the given pair of fractions into like fractions: $\frac{1}{2}$ and $\frac{3}{4}$.

• A. $\frac{2}{4}$ and $\frac{5}{4}$
• B. $\frac{2}{4}$ and $\frac{3}{4}$
• C. $\frac{1}{4}$ and $\frac{3}{4}$
• D. None of the above

Answer 1

The correct option is B $\frac{2}{4}$ and $\frac{3}{4}$

Like fractions have the same denominator. But here we have 2 and 4 as the denominators in the given pair of fractions $\frac{1}{2}$ and $\frac{3}{4}$.

Let's convert the given fractions into like fractions using LCM method

Multiples of 2: 2, 4, 6, 8, 10, ...
Multiples of 4: 4, 8, 12, 16, 20, ...
$\therefore LCM(2,4)=4$

Let's rewrite the denominator of $\frac{1}{2}$ as one-fourths.
So,$\frac{1}{2}=\frac{1\times 2}{2\times 2}=\frac{2}{4}$
and $\frac{3}{4}$ is already in its fourth form.

Hence, $\frac{2}{4}$ and $\frac{3}{4}$ are a pair of like fractions.