Question

3a/4+2a/3-a/12a. a/3b. 4/3c. (4a)/3​

Answer 1

Answer:

(4a)/3

Step-by-step 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

Step-by-step explanation:

$\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}$

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

$(\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}$

Solve;

$\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}$

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

$\frac{(9a+8a)-a}{12}$

Solve;

$\frac{17a-a}{12}=\frac{16a}{12}$

Simplify by 4;

16/4=4

12/4=3

$\frac{4a}{3}$