Question

What do we get when we subtract $1\frac{1}{3}$ from $5\frac{1}{2}?$

• A. $\frac{25}{6}$
• B. $3\frac{1}{6}$
• C. $\frac{23}{6}$
• D. $3\frac{5}{6}$

Answer 1

The correct option is A $\frac{25}{6}$

First we need to convert the given mixed fractions into improper fractions.

$5\frac{1}{2}=\frac{(5\times 2)+1}{2}=\frac{11}{2}$

and $1\frac{1}{3}=\frac{(1\times 3)+1}{3}=\frac{4}{3}$

Now, $5\frac{1}{2}-1\frac{1}{3}$ $=\frac{11}{2}-\frac{4}{3}$

(Now, we need to convert the unlike fractions into like fractions)

$=\frac{11\times 3}{2\times 3}-\frac{4\times 2}{3\times 2}=\frac{33}{6}-\frac{8}{6}=\frac{(33-8)}{6}=\frac{25}{6}=\frac{(6\times 4)+1}{6}=4\frac{1}{6}$