Question

Like fractions of the fractions $\frac{4}{7}$ and $\frac{2}{5}$ would be

• A. $\frac{28}{35}$ and $\frac{14}{35}$
• B. $\frac{28}{35}$ and $\frac{2}{5}$
• C. $\frac{28}{35}$ and $\frac{15}{35}$
• D. None of the above

Answer 1

The correct option is A $\frac{28}{35}$ and $\frac{14}{35}$

To convert the unlike fractions into its like fractions, we need to find the LCM of denominators of the given fractions.

LCMof 7 and 5
7 can be written as $7:1\times 7$
5 can be written as $5:5\times 1$

Taking the factors with highest powers common, we get
$7^1$ from 7 and $5^1$ from 5.

Multiplying them, we get $7\times 5=35$ as the required LCM.

Now, we multiply $\frac{4}{7}$ and $\frac{2}{5}$ with $5$ and $7$ respectively to make their denominators as $35.$

$\therefore \frac{4}{7}=\frac{4\times 5}{7\times 5}=\frac{20}{35}$

and $\frac{2}{5}=\frac{2\times 7}{5\times 7}=\frac{14}{35}$