Question

4/15x + 5/6x + 1/2 = 1 3/5

Answer 1

x = 1

Explanation:

Given

`(4)/(15)` x +
`(5)/(6)` x +
`(1)/(2)` = 1
`(3)/(5)` ← convert to an improper fraction

`(4)/(15)` x +
`(5)/(6)` x +
`(1)/(2)` =
`(8)/(5)`

Multiply through by 30 ( the LCM of 15, 6, 2, 5 ) to clear the fractions

8x + 25x + 15 = 48

33x + 15 = 48 ( subtract 15 from both sides )

33x = 33 ( divide both sides by 33 )

x = 1