Question

What is the sum of $3\frac{4}{7}$ and $4\frac{1}{5}$?

• A. 7$\frac{2}{3}$
• B. 7$\frac{27}{35}$
• C. 8$\frac{27}{35}$
• D. 7$\frac{9}{12}$

Answer 1

The correct option is B 7$\frac{27}{35}$

Correct option: D (7$\frac{27}{35}$)

$3\frac{4}{7}$ + $4\frac{1}{5}$
Add the whole numbers together and add the fractions together and lastly combine both.
$3\frac{4}{7}$ + $4\frac{1}{5}$ = 3 + 4 + $\frac{4}{7}$ + $\frac{1}{5}$
= 7 + $\frac{4\times 5}{7\times 5}$ + $\frac{1\times 7}{5\times 7}$
= 7 + $\frac{20}{35}$ + $\frac{7}{35}$
= 7 + $\frac{20+7}{35}$
= 7 + $\frac{27}{35}$
= 7$\frac{27}{35}$