Question

Simplify:
$\frac{2}{3}\times \frac{6}{1}+\frac{3}{5}÷\frac{2}{7}-{\left(\frac{8}{3}\right)}^2\times \frac{3}{4}$

• A. $\frac{23}{30}$
• B. $\frac{76}{30}$
• C. $6\frac{2}{30}$

Answer 1

The correct option is A $\frac{23}{30}$

According to PEMDAS rule, we will solve the expression.
First we need to solve exponent here, then multiplication then divide then addition and then subtraction.

On simplifying this expression we get,
$\frac{2}{3}\times \frac{6}{1}+\frac{3}{5}÷\frac{2}{7}-\frac{64}{9}\times \frac{3}{4}=4+\frac{3}{5}÷\frac{2}{7}-\frac{16}{3}=4+\frac{21}{10}-\frac{16}{3}=\frac{40+21}{10}-\frac{16}{3}=\frac{61\times 3-16\times 10}{30}=\frac{183-160}{30}=\frac{23}{30}$.