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 (26)/(9)}}`

Explanation:

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

`=\large\boxed{(26)/(9)}`