Question

HELP

combine like terms 3/4a +1/2b - 1/2a
A) 1/4a + 1/2b
B) 1/2b - 3/8a
C) 3/4a
D)3/4ab

Answer 1

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

Answer 2

A) 1/4a + 1/2b

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