Question

Help Jennifer find the value of $2\frac{4}{5}+1\frac{3}{5}$. Choose the correct option.

• A. $3\frac{2}{5}$
• B. $4\frac{3}{5}$
• C. $4\frac{2}{5}$
• D. $3\frac{3}{5}$

Answer 1

The correct option is C $4\frac{2}{5}$

$2\frac{4}{5}+1\frac{3}{5}$
To add mixed fractions, let's add the whole part together and then the fractional parts.
So, $2\frac{4}{5}+1\frac{3}{5}=(2+1)(\frac{4}{5}+\frac{3}{5})=3\left(\frac{4+3}{5}\right)=3\frac{7}{5}$
Further, the fraction $\frac{7}{5}$ is improper. So, we can convert it into a mixed fraction.
$\frac{7}{5}=1\frac{2}{5}$
So, the complete fraction is $(3+1)\frac{2}{5}=4\frac{2}{5}$