Question

The value of $\frac{3}{5}\times \frac{35}{24}+\frac{10}{1}\times \frac{3}{5}$ is

• A. $\frac{55}{8}$
• B. $\frac{8}{55}$
• C. $\frac{3}{5}$
• D. $\frac{35}{8}$

Answer 1

The correct option is A $\frac{55}{8}$

$\frac{3}{5}\times \frac{35}{24}+\frac{10}{1}\times \frac{3}{5}$

$=\frac{3}{5}\times \frac{35}{24}+\frac{10}{1}\times \frac{3}{5}$

$=\frac{3}{5}\times \frac{35}{24}+\frac{3}{5}\times \frac{10}{1}$ ($\because$ commutative property)

$=\frac{3}{5}(\frac{35}{24}+10)$ ($\because$ distributive property)

$=\frac{3}{5}\times \frac{35+240}{24}$

$=\frac{275}{8\times 5}$

$=\frac{55}{8}$.