Ms. Smith made 8 bags. She used 7/10 yard of cloth to make each bag. How much cloth, in yards, did Ms. Smith use to make all 8 bags?
Understand the Problem
The question is asking how much cloth in total Ms. Smith used to make 8 bags, given that each bag requires 7/10 yard of cloth. We will calculate this by multiplying the amount of cloth used for one bag by the number of bags made.
Answer
$5 \frac{3}{5}$ yards
Answer for screen readers
Ms. Smith used ( 5 \frac{3}{5} ) yards of cloth to make all 8 bags.
Steps to Solve
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Determine the amount of cloth for one bag Each bag requires ( \frac{7}{10} ) yard of cloth.
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Multiply to find total cloth for 8 bags To find the total cloth used for 8 bags, multiply the amount of cloth used for one bag by the number of bags: $$ \text{Total cloth} = 8 \times \frac{7}{10} $$
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Perform the multiplication Carrying out the multiplication: $$ \text{Total cloth} = \frac{8 \times 7}{10} = \frac{56}{10} $$
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Simplify the fraction Now simplify ( \frac{56}{10} ): $$ \frac{56}{10} = \frac{28}{5} $$
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Convert to mixed number (if needed) Convert ( \frac{28}{5} ) to a mixed number: $$ \frac{28}{5} = 5 \frac{3}{5} $$
Ms. Smith used ( 5 \frac{3}{5} ) yards of cloth to make all 8 bags.
More Information
The process of finding total cloth consumption involves multiplication of fractions, and the answer reflects the total length of cloth used in a simplified form.
Tips
- Forgetting to multiply the numerator and denominator separately when multiplying fractions.
- Not simplifying the final fraction or mixed number.
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