Question

4. Simplify the following expression: (2/5+4/3)/(3/5)
A. 3/14
B. 75/131
C. 26/9
D. 11/144​

Answer 1

it’s C because 2/5+4/3= 26/15 then divide it by 3/5 and you get 26/9

Answer 2

Answer: $\bold{C.\quad \dfrac{26}{9}}}$

Step-by-step explanation:

$\bigg(\dfrac{2}{5}+\dfrac{4}{3}\bigg)\div\dfrac{3}{5}\\\\\\\text{According to PEMDAS, the parenthesis must be performed first.}\\\\\bigg[\dfrac{2}{5}\bigg(\dfrac{3}{3}\bigg)+\dfrac{4}{3}\bigg(\dfrac{5}{5}\bigg)\bigg]\div\dfrac{3}{5}\\\\\\\bigg(\dfrac{6}{15}+\dfrac{20}{15}\bigg)\div\dfrac{3}{5}\\\\\\\dfrac{26}{15}\div\dfrac{3}{5}\\\\\\\text{Dividing by a fraction is multiplying by its reciprocal.}\\\dfrac{26}{15}\times\dfrac{5}{3}\\\\\\\text{Simplify.}\\\dfrac{26}{3}\times\dfrac{1}{3}$

$=\large\boxed{\dfrac{26}{9}}$