Question

The value of $\frac{4}{5}+\frac{2}{3}+\frac{2}{5}$ is

(Use associative and commutative properties)

• A. $\frac{28}{15}$
• B. $\frac{15}{26}$
• C. $\frac{10}{15}$
• D. $\frac{2}{3}$

Answer 1

Answer: (A)

$\frac{28}{15}$

$\frac{4}{5}+\frac{2}{3}+\frac{2}{5}=\frac{4}{5}+(\frac{2}{3}+\frac{2}{5})$

$=\frac{4}{5}+(\frac{2}{5}+\frac{2}{3})$ (commutative property)

$=(\frac{4}{5}+\frac{2}{5})+\frac{2}{3}$ (associative property)

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

$=\frac{28}{15}$