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Evaluate the expression.\newline14÷12×25\frac{1}{4} \div \frac{1}{2} \times \frac{2}{5}\newlineWrite your answer as a fraction or as a whole or mixed number.\newline______

Full solution

Q. Evaluate the expression.\newline14÷12×25\frac{1}{4} \div \frac{1}{2} \times \frac{2}{5}\newlineWrite your answer as a fraction or as a whole or mixed number.\newline______
  1. Understand the problem: Understand the problem.\newlineWe need to calculate the number of rolls of electrical tape an electrician should order given the total length of tape needed and the length of tape on each roll.
  2. Identify the given values: Identify the given values.\newlineTotal amount of electrical tape needed: 8,000cm8,000\,\text{cm}\newlineAmount of tape on each roll: 2,000cm2,000\,\text{cm}
  3. Determine the operation needed: Determine the operation needed to solve the problem.\newlineTo find the number of rolls needed, we divide the total amount of tape by the amount of tape on each roll.\newlineExpression: Total amount of tape needed÷Amount of tape on each roll\text{Total amount of tape needed} \div \text{Amount of tape on each roll}
  4. Perform the division: Perform the division to find the number of rolls. 8,000cm÷2,000cm=48,000\,\text{cm} \div 2,000\,\text{cm} = 4 rolls