Question

Rewrite the expression 1/2p - (1 - 1/4p) without parentheses.

Answer 1

Question:

Rewrite the expression 1/2p - (1 - 1/4p) without parentheses.​

Solution:

Consider the following expression:

$\frac{1}{2}\text{ p - (1-}\frac{1}{4}p\text{)}$

putting together like terms, we get:

$\frac{1}{2}p\text{ + }\frac{1}{4}p-1$

this is equivalent to:

$\frac{2p\text{ + p}}{4}-1$

finally, this is equivalent to:

$\frac{3\text{ p}}{4}-1$

then, the correct answer is:

$\frac{3\text{ p}}{4}-1$