Question

Subtract $\frac{1}{4}$ w + 4 from $\frac{1}{2}$ w + 3


A) −14w+7

B) 14w+7

C) −14w+1

D) 14w−1

Answer 1

Answer:

D) $\frac{1}{4}w-1$

Step-by-step explanation:

To subtract:  

$\frac{1}{4}w+4$

from

$\frac{1}{2}w+3$

Solution:

The expression can be written as:

$\frac{1}{2}w+3-(\frac{1}{4}w+4)$

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

$\frac{1}{2}w+3-\frac{1}{4}w-4$

Combining like terms.

$\frac{1}{2}w-\frac{1}{4}w+3-4$

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.

$\frac{2}{4}w-\frac{1}{4}w-1$

Then, we simply subtract the numerators.

$\frac{1}{4}w-1$  

Thus, the final expression is : $\frac{1}{4}w-1$