Question

Like fractions of the fractions $\frac{7}{8}$ and $\frac{3}{5}$ would be

• A. $\frac{8}{21}$ and $\frac{5}{21}$
• B. $\frac{35}{40}$ and $\frac{24}{40}$
• C. $\frac{25}{45}$ and $\frac{33}{45}$
• D. $\frac{15}{45}$ and $\frac{33}{45}$

Answer 1

The correct option is B $\frac{35}{40}$ and $\frac{24}{40}$

Step 1: Find the LCM of denominators of the given fractions.
i.e. LCM of 8 and 5
8 can be written as $8:2\times 2\times 2$
5 can be written as $5:5\times 1$

Taking the factors with highest powers common, we get
$2^3$ from 8 and $5^1$ from 5.

Multiplying them, we get $2^3\times 5=40$ as the required LCM.

Now, we multiply $\frac{7}{8}$ and $\frac{3}{5}$ with $5$ and $8$ respectively to make their denominators as $40.$

$\therefore \frac{7}{8}=\frac{7\times 5}{8\times 5}=\frac{35}{40}$

and $\frac{3}{5}=\frac{3\times 8}{5\times 8}=\frac{24}{40}$

$\therefore$ Option B is the correct answer