To determine the kilograms of fruit crushed in one minute, you need to find out how many kilograms are crushed in 1 minute when 3 1/4 kilograms are crushed in 3/4 minute.
To solve this, you'll want to divide the total weight of fruit crushed by the time taken to crush that amount. Therefore, you will use:
3 1/4 ÷ 3/4
Step-by-Step Solution:
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Convert 3 1/4 to an improper fraction:
- \(3 1/4 = 3 \times 4 + 1 = 12 + 1 = 13/4\)
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Now, express the division of fractions:
- \( \frac{13}{4} \div \frac{3}{4} \)
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To divide by a fraction, multiply by its reciprocal:
- \( \frac{13}{4} \times \frac{4}{3} \)
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Multiply:
- \( = \frac{13 \times 4}{4 \times 3} = \frac{13}{3} \)
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Convert the improper fraction back to a mixed number:
- \( \frac{13}{3} = 4 \frac{1}{3} \)
Therefore, the kilograms of fruit crushed in one minute is:
4 1/3 kilograms per minute.