Question 94552
4a / 3 + 1/2 = 2/3

L.C.D. of 3,2, 3 inthe denominatorof the above fraction= 6


Multiply each term by the L.C.D  6

4a / 3 *6+ 1/2 *6 = 2/3*6


4a*2 +1*3 = 2*2

8a + 3 = 4

8a +3 -3 = 4 -3 

8a = 1 

8a/8 = 1/8

a = 1/8

CHECK

4a / 3 + 1/2 = 2/3

4*1/8*3  +1/2 = 2/3 

4/24 +1/2 = 2/3 

1/6 +1/2 = 2/3

(1+1*3)/6 = 2/3 

4/6 = 2/3 

2/3 = 2/3 

LHS = RHS

Hence a = 1/8 is the soltion