Solve for a

1/4a+1/3=1/3a+5/4

1/4a+1/3=1/3a+5/4

1/4a-1/3a+1/3=1/3a-1/3a+5/4

1/4a-1/3a+1/3=5/4

1/4a-1/3a+1/3-1/3=5/4-1/3

1/4a-1/3a=5/4-1/3

Figure the common denominator for 1/4a, 1/3a, 5/4 and - 1/3 which is 12

Multiply by 3 for 1/4a. (1) (3) / 4 (3a) = 3/12a

Multiply by 4 for 1/3a. (1) (4) (3) (4a) = 4/12a

Multiply by 3 for 5/4. (5) (3) / 4 (3) = 15/12

Multiply by 4 for - 1/3. (-1) (4) (3) (4) = -4/12

3/12a-4/12a=15/12-4/12

-1/12a=11/12

Multiply by - 12/1 for - 1/12a and 11/12

-1/12 (-12/1) a=11/12 (-12/1)

Cross out 12 and - 12, divide by 12 and then becomes - 11.

Cross out - 12 and - 12, divide by 12 and then becomes 1.

Cross out - 1 and 1, divide by 1 and then becomes 1.

1*1*a=-11

a=-11

Answer: a=-11