Question

1/4x+3/8 factored by the GCF

Answer 1

Given:

`(1)/(4)x+(3)/(8)`

To find:

The factor form of given expression by the GCF.

Solution:

First we need to find the GCF of
`(1)/(4)` and
`(3)/(8)`.

So, make denominators same.

`(1)/(4)=(1* 2)/(4* 2)=(2)/(8)`

Now,

`GCF\left((2)/(8),(3)/(8)\right)=(1)/(8)`

`GCF\left((1)/(4),(3)/(8)\right)=(1)/(8)`

We have,

`(1)/(4)x+(3)/(8)`

It can be written as

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

Taking out the GCF
`(1)/(8)`, we get

`=(1)/(8)(2x+3)`

Therefore, the required factor form is
`(1)/(8)(2x+3)`.