Question

What will be the common denominator when the operation is completed?

7/3 - 8/12x-8

Answer 1

The least common denominator is 12

Answer 2

To solve the given operation firat we take LCM for both terms.

As denominator of first term is 3 and second term is
`12x-8`

Therefore, the Lcm is
`3(12x-8)`

Now solving and making same denominator for each term

`(7)/(3)`
`*`
`(12x-8)/(12x-8)`

On multiplying we get

`(7(12x-8))/(3(12x-8))`
`=(84x-56)/(3(12x-8))`

Now solving other term

`(8)/(12x-8)`
`*`
`(3)/(3)`

On multiplying we get

`(24)/(3(12x-8))`

Now solving the expression by putting the values

`(84x-56-24)/(3(12x-8))`

`(84x-80)/(12(3x-2))`

`(4(21x-20))/(12(3x-2))`

On solving we get

`(21x-20)/(3(3x-2))`

There denominator of the expression is

`9x-6`

Hope this will help