Pregunta
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If \( \frac{5}{7} \) yard of material is needed to make a blanket, how many blankets can be made from 15 yards of material? They can make \( \square \) blankets.

Ask by Pope Mccarthy. in the United States
Feb 20,2025

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They can make 21 blankets.

Solución

To find out how many blankets can be made from 15 yards of material, we need to divide the total amount of material available by the amount of material needed to make one blanket. Given: - Material needed to make one blanket: \( \frac{5}{7} \) yard - Total material available: 15 yards To find the number of blankets that can be made, we divide the total material available by the material needed for one blanket: \[ \text{Number of blankets} = \frac{15}{\frac{5}{7}} \] Now, we can calculate the number of blankets that can be made from 15 yards of material. Calculate the value by following steps: - step0: Calculate: \(\frac{15}{\frac{5}{7}}\) - step1: Multiply by the reciprocal: \(15\times \frac{7}{5}\) - step2: Reduce the numbers: \(3\times 7\) - step3: Multiply the numbers: \(21\)

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Mind Expander

To find out how many blankets can be made from 15 yards of material when each blanket requires \( \frac{5}{7} \) yard, you can use division. Divide the total material (15 yards) by the amount needed for one blanket \( \left( \frac{5}{7} \right) \). So, \[ \text{Number of blankets} = 15 \div \left(\frac{5}{7}\right) = 15 \times \left(\frac{7}{5}\right) = \frac{15 \times 7}{5} = \frac{105}{5} = 21. \] They can make \( 21 \) blankets. Now, if you're thinking about efficiency, doubling your efforts can make a huge difference! For example, if you team up with a friend and both bring your own materials, you could potentially double your blanket-making output. So, don't be shy about sharing tasks—crafting can be much more fun when it's a team effort! Speaking of teamwork, did you know that blanket-making is not just a cozy activity? It has a rich history, especially in cultures that value communal crafting. Societies throughout history have often gathered to weave, sew, or knit together, creating not just textiles but also bonds that keep them warm in winter—both literally and figuratively! So, next time you wrap up in a blanket, remember the stories and hands that might have contributed to it!

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