Question

3a/12-1/4=5a/12+1/2

Answer 1

5a 1
Simplify —— + —
12 2

Answer 2

L. Mult. • L. Num. 5a
—————————————————— = ——
L.C.M 12

R. Mult. • R. Num. 6
——————————————————
L.C.M 12

Answer 3

5a + 6 5a + 6
——————-----
12 12

Answer 4

Equation at the end of step 1 :

a 1 (5a + 6)
((3 • ——) - —) - ———————— = 0
12 4 12

Answer 5

The left denominator is : 4

The right denominator is : 4

Answer 6

Calculating Multipliers :

2.2 Calculate multipliers for the two fractions

L.C.M
L. Multiplier = —————————————— = 1
L. Denominator


L.C.M
R. Multiplier = —————————————— = 1
R. Denominator

Answer 7

Making Equivalent Fractions :

2.3 Rewrite the two fractions into equivalent fractions


L. Mult. • L. Num. a
—————————————————— = —
L.C.M 4

R. Mult. • R. Num. 1
—————————————————— = —
L.C.M 4

Answer 8

add fraction which have a common denominator.

Answer 9

a - (1) a - 1
———————
4 4

Answer 10

Equation at the end of step 2 :

(a - 1) (5a + 6)
——————— - ———————— = 0
4 12

Answer 11

Step 3 :

a-1 5a+6
Simplify ——— - ————
4 12

Answer 12

Calculating the Least Common Multiplier :

Answer 13

3.1 Find the Least Common Multiple (L.C.M)

The left denominator is : 4

The right denominator is : 12

Answer 14

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

L.C.M
L. Multiplier = —————————————— = 3
L. Denominator


L.C.M
R. Multiplier = —————————————— = 1
R. Denominator

Answer 15

L. Mult. • L. Num. (a-1) • 3
———————— =—————————
L.C.M 12

R. Mult. • R. Num. (5a+6)
—————————=————————
L.C.M 12

Answer 16

Adding fractions that have a common denominator.

(a-1) • 3 - ((5a+6)) -2a - 9
—————————— = ——————

12 12
Pull out like factors :

-2a - 9 = -1 • (2a + 9)
Equation at the end of step 3 :

-1 • (2a + 9)
————————————— = 0
12

Answer 17

-1•(2a+9)
Then Solve ————————— = 0
12

Answer 18

Solve : -1 = 0

Answer 19

Solving a Single Variable Equation :

4.3 Solve : 2a+9 = 0

Subtract 9 from both sides of the equation :
2a = -9
Divide both sides of the equation by 2:
a = -9/2
One solution was found :

a = -9/2