Question

Subtract $\frac{1}{10}$ from $\frac{1}{5}$ and choose the correct answer.

• A. $\frac{2}{5}$
• B. $\frac{3}{10}$
• C. $\frac{1}{10}$
• D. $\frac{4}{5}$

Answer 1

The correct option is C $\frac{1}{10}$

We have to subtract $\frac{1}{10}$ from $\frac{1}{5},$ so we have to find the value of $\frac{1}{5}-\frac{1}{10}.$

As these are unlike fractions, we need to convert them into like fractions.

Step 1: Find the LCM of denominators 5 and 10

Multiples of 5: 5, 10, 15, 20, ..
Multiples of 10: 10, 20, 30, 40, ..

10 is the common multiple of 5 and 10. So, LCM of 5 and 10 is 10.

Step 2: Now, we have to convert the denominators of both the fractions into 10 (LCM of 5 and 10) without changing the fraction value.

$\frac{1}{5}=\frac{1\times 2}{5\times 2}=\frac{2}{10}$
and $\frac{1}{10}$ is already in its tenth form

$\therefore \frac{1}{5}-\frac{1}{10}=\frac{2}{10}-\frac{1}{10}$
$=\frac{2-1}{10}$
$=\frac{1}{10}$