Question

Which value for x makes the sentence true?

Answer 1

D

Explanation:

Given

-
`(2)/(5)` + x =
`(8)/(3)`

Add
`(2)/(5)` to both sides

x =
`(8)/(3)` +
`(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 =
`(8(5))/(3(5))` +
`(2(3))/(5(3))`

=
`(40)/(15)` +
`(6)/(15)`

Now add the numerators leaving the denominator

x =
`(40+6)/(15)` =
`(46)/(15)` → D