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How many skirts can be made from 10(1)/(2) m of cloth if each skirt requires 1(1)/(2) m?

Mathematics

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Step-by-step solution

3 steps
  1. Convert the mixed numbers to improper fractions.

    Amount of cloth for one skirt:

    112=(1×2)+12=32 m1\frac{1}{2} = \frac{(1 \times 2) + 1}{2} = \frac{3}{2} \text{ m}

    Total amount of cloth:

    1012=(10×2)+12=212 m10\frac{1}{2} = \frac{(10 \times 2) + 1}{2} = \frac{21}{2} \text{ m}
  2. Divide the total amount of cloth by the amount of cloth needed for one skirt to find the number of skirts.

    Number of skirts=Total amount of clothAmount of cloth for one skirt\text{Number of skirts} = \frac{\text{Total amount of cloth}}{\text{Amount of cloth for one skirt}} Number of skirts=21232\text{Number of skirts} = \frac{\frac{21}{2}}{\frac{3}{2}}
  3. Perform the division by multiplying by the reciprocal of the divisor.

    Number of skirts=212×23\text{Number of skirts} = \frac{21}{2} \times \frac{2}{3} Number of skirts=21×22×3\text{Number of skirts} = \frac{21 \times 2}{2 \times 3} Number of skirts=426\text{Number of skirts} = \frac{42}{6} Number of skirts=7\text{Number of skirts} = 7

    7 skirts can be made from 101210\frac{1}{2} m of cloth.

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