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:

b = 3/8

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answer: 88

step-by-step explanation: