Question

Which value for x makes the sentence true?

Answer 1

Answer:

D

Step-by-step explanation:

Given

- $\frac{2}{5}$ + x = $\frac{8}{3}$

Add $\frac{2}{5}$ to both sides

x = $\frac{8}{3}$ + $\frac{2}{5}$

Before adding the fractions we require them to have a common denominator

Multiply the numerator/ denominator of the first fraction by 5 and

Multiply the numerator/ denominator of the second fraction by 3

x = $\frac{8(5)}{3(5)}$ + $\frac{2(3)}{5(3)}$

  = $\frac{40}{15}$ + $\frac{6}{15}$

Now add the numerators leaving the denominator

x = $\frac{40+6}{15}$ = $\frac{46}{15}$ → D