Question

Select the correct answer from the given four alternative answers:

$4\frac{1}{3}-2\frac{1}{6}$

• A. $2\frac{1}{3}$
• B. $2\frac{1}{6}$
• C. $2$
• D. $\frac{1}{3}$

Answer 1

The correct option is B

$2\frac{1}{6}$

Justification of answer:

To subtract : $4\frac{1}{3}-2\frac{1}{6}$

Converting the above mixed fractions into improper fractions, weget

$4\frac{1}{3}=\frac{13}{3}$

$2\frac{1}{6}=\frac{13}{6}$

Now converting the above unlike fractions into like fractions by obtaining L.C.M of their denominators, we get

L.C.M of $3$ and $6=6$

$\frac{13}{3}=\frac{13\times 2}{3\times 2}=\frac{26}{6}$

$4\frac{1}{3}-2\frac{1}{6}$$=\frac{13}{3}-\frac{13}{6}$

$=\frac{26}{6}-\frac{13}{6}$

$=\frac{26-13}{6}$

⇒ $4\frac{1}{3}-2\frac{1}{6}$ $=\frac{13}{6}$

⇒$4\frac{1}{3}-2\frac{1}{6}$$=\frac{13}{6}$or $2\frac{1}{6}$.

Thus, option B is the correct answer