Question

2/5(1/3x-15/8)-1/3(1/2-2/3x)

Answer 1

`(16)/(45)x-(11)/(12)`

Explanation:

We are given that an expression

`(2)/(5)(1/3x-15/8)-(1)/(3)(1/2-2/3x)`

We have to find the equivalent expression.

`(2)/(5)((1)/(3)x-(15)/(8))-(1)/(3)((1)/(2)-(2)/(3)x)`

`(2)/(5)* (1)/(3)x-(2)/(5)* (15)/(8)-(1)/(3)* (1)/(2)-(1)/(3)* (-(2)/(3)x)`

Using the the property

`a\cdot (c-b)=a\cdot c-a\cdot b`

`(2)/(5)(1/3x-15/8)-(1)/(3)(1/2-2/3x)`

`=(2)/(15)x-(3)/(4)-(1)/(6)+(2)/(9)x`

`=(6x+10x)/(45)+(-9-2)/(12)`

`=(16)/(45)x-(11)/(12)`

`(2)/(5)(1/3x-15/8)-(1)/(3)(1/2-2/3x)=(16)/(45)x-(11)/(12)`