To determine the rate at which the machine processes the dried fruits in kilograms per minute, you need to divide the total amount of dried fruits by the time taken. Therefore, the correct process to solve the problem is:
3 1/4 ÷ 3/4.
Now, let's perform the calculation step-by-step:
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Convert the mixed number \( 3 \frac{1}{4} \) to an improper fraction: \[ 3 \frac{1}{4} = \frac{13}{4} \]
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The fraction \( \frac{3}{4} \) remains as is.
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Now, perform the division: \[ \frac{13}{4} \div \frac{3}{4} \] This is equivalent to multiplying by the reciprocal: \[ \frac{13}{4} \times \frac{4}{3} = \frac{13 \times 4}{4 \times 3} = \frac{13}{3} \]
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Convert the improper fraction \( \frac{13}{3} \) back into a mixed number:
- Divide 13 by 3, which gives 4 with a remainder of 1.
- Thus, \( \frac{13}{3} = 4 \frac{1}{3} \).
So the machine processes 4 1/3 kilograms per minute.