Answer:
13/24 a +3/5
Step-by-step 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