4 1/3+5/3-2 7/30

Interpret the expression as mixed numbers: 4 1/3 + 5/3 - 2 7/30.

• Convert to improper fractions:

  • 4 1/3 = 13/3
  • 5/3 = 5/3
  • 2 7/30 = 67/30

• Put over denominator 30:

  • 13/3 = 130/30
  • 5/3 = 50/30

• Compute: 130/30 + 50/30 - 67/30 = (180 - 67)/30 = 113/30

• Convert to mixed number: 113/30 = 3 23/30

Answer: 113/30 or 3 23/30 (≈ 3.7667).