Question

What do we get when we add $1\frac{1}{3}$ and $7\frac{1}{3}$ ?

• A. $8\frac{2}{3}$
• B. $7\frac{1}{3}$
• C. $9\frac{1}{3}$
• D. $5\frac{2}{3}$

Answer 1

The correct option is A $8\frac{2}{3}$

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

$1\frac{1}{3}=\frac{1\times 3+1}{3}=\frac{4}{3}$

and $7\frac{1}{3}=\frac{7\times 3+1}{3}=\frac{22}{3}$

Now, $1\frac{1}{3}+7\frac{1}{3}=\frac{4}{3}+\frac{22}{3}$

$=\frac{(4+22)}{3}$ (Adding like fractions)

$=\frac{26}{3}$

$=\frac{(24+2)}{3}$

$=8\frac{2}{3}$