Question

3a/4+2a/3-a/12

a. a/3
b. 4/3
c. (4a)/3​

Answer 1

(4a)/3

Explanation:

3a/4+2a/3-a/12

find L.C.M

9a+8a-1a/12=16a/12

16a/12=(4a)/3

Answer 2

Answer: C

Explanation:

`(3a)/(4)+(2a)/(3)-(a)/(12)`

Find the least common denominator of 4, 3, and 12.

4-3-12 | 3

4-1-4 | 4

1-1-1 |-------- 12

The first fractions needs to be multiplied by 3, and the second fraction, by 4

`(((3a)*3)/((4)*3))+(((2a)*4)/((3)*4))-(a)/(12)`

Solve;

`(9a)/(12)+(8a)/(12)-(a)/(12)`

Add the fractions with positive signs and subtract the one with negative sign.

`((9a+8a)-a)/(12)`

Solve;

`(17a-a)/(12)=(16a)/(12)`

Simplify by 4;

16/4=4

12/4=3

`(4a)/(3)`