What is the value of b in the equation? b + 1/8=1/2

b = 3/8

Step-by-step explanation:

Solve for b:

b + 1/8 = 1/2

Put each term in b + 1/8 over the common denominator 8: b + 1/8 = (8 b) / 8 + 1/8:

(8 b) / 8 + 1/8 = 1/2

(8 b) / 8 + 1/8 = (8 b + 1) / 8:

(8 b + 1) / 8 = 1/2

Multiply both sides of (8 b + 1) / 8 = 1/2 by 8:

(8 (8 b + 1)) / 8 = 4

(8 (8 b + 1)) / 8 = 8/8 * (8 b + 1) = 8 b + 1:

8 b + 1 = 4

8/2 = (2*4) / 2 = 4:

8 b + 1 = 4

Subtract 1 from both sides:

8 b + (1 - 1) = 4 - 1

1 - 1 = 0:

8 b = 4 - 1

4 - 1 = 3:

8 b = 3

Divide both sides of 8 b = 3 by 8:

(8 b) / 8 = 3/8

8/8 = 1:

Answer: b = 3/8