4 1/8 - (b-1 3/4)=1 5/6

Solve for b:

• Convert to improper/mixed numbers:

  • 4 1/8 = 33/8
  • 1 3/4 = 7/4
  • 1 5/6 = 11/6

• Equation: 33/8 - (b - 7/4) = 11/6

• Distribute: 33/8 - b + 7/4 = 11/6

• Combine constants: 33/8 + 7/4 = 33/8 + 14/8 = 47/8 So 47/8 - b = 11/6

• Solve for b:

  • -b = 11/6 - 47/8 = (44/24 - 141/24) = -97/24
  • b = 97/24 = 4 1/24

Answer: b = 97/24 = 4 1/24