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An electrician needs 22 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 34\frac{3}{4} of a roll of wire?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ rooms

Full solution

Q. An electrician needs 22 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 34\frac{3}{4} of a roll of wire?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ rooms
  1. Understand the problem: Understand the problem.\newlineWe need to find out how many rooms can be wired with 34\frac{3}{4} of a roll of wire, knowing that each room requires 22 rolls of wire.\newlineCalculation: None needed here.
  2. Set up the equation: Set up the equation.\newlineTo find the number of rooms that can be wired, divide the available rolls of wire by the rolls required per room.\newlineCalculation: (34)÷2(\frac{3}{4}) \div 2
  3. Perform the division: Perform the division.\newline(34)÷2=(34)×(12)=38(\frac{3}{4}) \div 2 = (\frac{3}{4}) \times (\frac{1}{2}) = \frac{3}{8}\newlineThis means 38\frac{3}{8} of a room can be wired with 34\frac{3}{4} of a roll of wire.