To determine how many kilograms of dried fruits are crushed in one minute, you can first calculate the rate by dividing the total kilograms crushed by the time taken.
The problem states that 3 1/4 kilograms of dried fruits are crushed in 3/4 minute. We can convert 3 1/4 to an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13/4 kilograms.
Now, we can set up the division:
To find the kilograms crushed in one minute, we need to divide the total kilograms by the time in minutes: \[ \text{Kilograms per minute} = \frac{13/4 \text{ kg}}{3/4 \text{ min}}. \]
When dividing fractions, we multiply by the reciprocal of the divisor: \[ \frac{13}{4} \div \frac{3}{4} = \frac{13}{4} \times \frac{4}{3}. \]
The 4's cancel out: \[ = \frac{13}{3} \text{ kilograms per minute}. \]
Next, we convert \(\frac{13}{3}\) into a mixed number: 13 divided by 3 gives us 4 with a remainder of 1. Therefore, \(\frac{13}{3} = 4 \frac{1}{3}\).
Question 1 Answer: The correct process to determine how many kilograms of fruit are crushed in one minute is: \(3 1/4 \div 3/4\)
Question 2 Answer: The solution as a mixed number is: \(4 \frac{1}{3}\) kilograms per minute.