Question

HELP

Answer 1

$\dfrac{3}{4}a+\dfrac{1}{2}b-\dfrac{1}{2}a=\left(\dfrac{3}{4}a-\dfrac{1}{2}a\right)+\dfrac{1}{2}b\\\\\text{Find the common denominator:}\ it's\ 4\\\\\dfrac{1}{2}=\dfrac{1\cdot2}{2\cdot2}=\dfrac{2}{4}\\\\=\left(\dfrac{3}{4}a-\dfrac{2}{4}a\right)+\dfrac{1}{2}b=\boxed{\dfrac{1}{4}a+\dfrac{1}{2}b}\to\boxed{A)}$

Answer 2

Answer:

A) 1/4a + 1/2b

Step-by-step explanation:

3/4a +1/2b - 1/2a

3/4a -1/2 a     + 1/2 b

We need a common denominator for the a terms which is 4

3/4a - 1/2*2/2 a  + 1/2 b

3/4a -2/4a     + 1/2 b

1/4a + 1/2 b