Question

Please help me with this:

−2( 1/6 a− 3/8 )+ 1/4 (3 1/2 a− 3/5 )

Answer 1

13/24 a +3/5

Explanation:

−2( 1/6 a− 3/8 )+ 1/4 (3 1/2 a− 3/5 )

Distribute

-2/6a +6/8 + 1/4 (3 1/2 a) - 3/20

Change 3/12 to an improper fraction

-1/3 a +3/4 + 1/4(7/2a) -3/20

-1/3a + 3/4 +7/8a -3/20

Now combine like terms

-1/3a + 7/8a +3/4 -3/20

Get common denominators

-8/24a + 21/24a +15/20 -3/20

13/24a +12/20

Simplify

13/24 a +3/5