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In the winter, Lara sells her handmade wreaths at the Family Fir Farm. Today, she is making bows to attach to her wreaths. She cuts up 22 meters of ribbon and ties the pieces into bows. It takes 25\frac{2}{5} of a meter of ribbon to make each bow. How many bows does Lara make? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ bows

Full solution

Q. In the winter, Lara sells her handmade wreaths at the Family Fir Farm. Today, she is making bows to attach to her wreaths. She cuts up 22 meters of ribbon and ties the pieces into bows. It takes 25\frac{2}{5} of a meter of ribbon to make each bow. How many bows does Lara make? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ bows
  1. Calculate Ribbon Usage: First, let's figure out how much ribbon Lara uses for each bow. She uses 25\frac{2}{5} of a meter per bow.
  2. Determine Bows from Ribbon: Next, we need to know how many bows she can make from 22 meters of ribbon. We do this by dividing the total ribbon by the amount used for each bow: 22 meters ÷\div 25\frac{2}{5} meter/bow.
  3. Divide by Reciprocal: To divide by a fraction, we multiply by its reciprocal. So, 2÷252 \div \frac{2}{5} becomes 2×522 \times \frac{5}{2}.
  4. Simplify Result: Simplifying 2×522 \times \frac{5}{2} gives us 55. Lara can make 55 bows from 22 meters of ribbon.

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