Question

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

Answer 1

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