Question

Match the expressions with their correct values in the Column II.

• A. $0$
• B. $\frac{3}{8}$
• C. $\frac{2}{9}$

Answer 1

$\frac{3}{4}-\frac{3}{8}$

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

Step 1: Find the LCM of denominators 4 and 8

Multiples of 4: 4, 8, 12, 16, ..
Multiples of 8: 8, 16, 24, 32, ..

8 is the common multiple of 4 and 8. So, LCM of 4 and 8 is 8.

Step 2: Now, we have to convert the denominators of both the fractions into 8 (LCM of 4 and 8) without changing the fraction value.
$\therefore \frac{3}{4}-\frac{3}{8}=\frac{3\times 2}{4\times 2}-\frac{3}{8}$
$=\frac{6}{8}-\frac{3}{8}$
$=\frac{6-3}{8}$
$=\frac{3}{8}$



$\text{Similarly,}\frac{1}{3}-\frac{2}{6}=\frac{1\times 2}{3\times 2}-\frac{2}{6}$
$=\frac{2}{6}-\frac{2}{6}$
$=\frac{2-2}{6}$
$=0$

$\text{and}\frac{2}{3}-\frac{4}{9}=\frac{2\times 3}{3\times 3}-\frac{4}{9}=\frac{6}{9}-\frac{4}{9}=\frac{6-4}{9}=\frac{2}{9}$