X over 3 plus x over 2 equals 1?

Answer 1

x/3 + x/2 = 1

Multiply both sides by 3:

x + (3x/2) = 3

Multiply both sides by 2:

2x + 3x = 6

Combine like terms:

5x = 6

Divide both sides by 5:

x = 6/5

Another route:

x/3 + x/2 = 1

Find a common denominator (2 times 3 is 6)

(2x/6) + (3x/6) = 1

Combine like terms:

(5x/6) = (5/6)x = 1

Divide both sides by (5/6) (Can also be thought of as multiplying by 6 and dividing by 5.)

x = 6/5