Answer:
b = 3/8
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