Question

Subtract
`(1)/(4)` w + 4 from
`(1)/(2)` w + 3

A) −14w+7

B) 14w+7

C) −14w+1

D) 14w−1

Answer 1

D)
`(1)/(4)w-1`

Explanation:

To subtract:

`(1)/(4)w+4`

from

`(1)/(2)w+3`

Solution:

The expression can be written as:

`(1)/(2)w+3-((1)/(4)w+4)`

Simplifying by removing the parenthesis by reversing the signs of the terms that lie inside the parenthesis after the negative sign.

`(1)/(2)w+3-(1)/(4)w-4`

Combining like terms.

`(1)/(2)w-(1)/(4)w+3-4`

In order to subtract fractions we take least common denominator.

The L.C.D for 2 and 4 = 4 as it the least common multiple of both numbers.

`(2)/(4)w-(1)/(4)w-1`

Then, we simply subtract the numerators.

`(1)/(4)w-1`

Thus, the final expression is :
`(1)/(4)w-1`