Question

Help John calculate the following sum:

$2\frac{1}{3}+3\frac{2}{3}$=

• A. $6$
• B. $5$
• C. $6\frac{1}{6}$
• D. $5\frac{2}{6}$

Answer 1

The correct option is A $6$

$\text{To calculate the sum of}2\frac{1}{3}\text{and}3\frac{2}{3}\text{, we}\text{add the whole number parts and the}\text{fractional parts individually.}$

$\text{Whole number part of}2\frac{1}{3}\text{is}2$

$\text{Whole number part of}3\frac{2}{3}\text{is}3$

$⟹\text{Sum of the whole parts}=(2+3)=5$

$\text{Fractional part of}2\frac{1}{3}\text{is}\frac{1}{3}$

$\text{Fractional part of}3\frac{2}{3}\text{is}\frac{2}{3}$

$⟹\text{Sum of the fractional parts}$

$=\frac{1}{3}+\frac{2}{3}$

$=\frac{(1+2)}{3}$

$=\frac{3}{3}$

$=1$

$⟹\text{Sum of the mixed numbers is:}$

$2\frac{1}{3}+3\frac{2}{3}=5+1=6$