Question

14. Reduce the following expression onto a single fraction.
4x - 5
2x - 1
2
6​

Answer 1

`(5x-7)/(3)`

Explanation:

Given

`(4x - 5)/(2) - (2x - 1)/(6)`

Required

Express as a fraction

`(4x - 5)/(2) - (2x - 1)/(6)`

Take LCM

`(3(4x - 5) - (2x - 1))/(6)`

Open bracket

`(12x - 15 - 2x + 1)/(6)`

Collect like terms

`(12x - 2x- 15 + 1)/(6)`

`(10x-14)/(6)`

Simplify

`(5x-7)/(3)`