To determine how many kilograms of dried fruits are crushed in one minute, we start with the amount crushed in \( \frac{3}{4} \) minute and find out how much would be crushed in 1 minute.
-
Identify the quantities:
- Amount crushed in \( \frac{3}{4} \) minute = \( 3 \frac{1}{4} \) kilograms.
-
Convert the mixed number to an improper fraction:
- \( 3 \frac{1}{4} = \frac{13}{4} \) kilograms (since \( 3 \times 4 + 1 = 13 \)).
-
Understanding the problem:
- We want to find out how much is crushed in 1 minute.
- Since \( \frac{3}{4} \) of a minute corresponds to \( \frac{13}{4} \) kilograms, we can set up the equation for 1 minute by dividing the amount crushed by the time in minutes.
-
Setting up the equation:
- To find the kilograms crushed per minute, we can calculate: \[ \text{Kilograms per minute} = \frac{13/4}{3/4} \]
-
Performing the division of fractions:
- Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{13/4}{3/4} = 13/4 \times 4/3 = \frac{13 \times 4}{4 \times 3} = \frac{13}{3} \]
-
Convert the improper fraction to a mixed number:
- \( \frac{13}{3} = 4 \frac{1}{3} \) (since \( 13 \div 3 = 4 \) remainder \( 1 \)).
Final Answer: The kilograms of fruit crushed in one minute is: \[ 4 \frac{1}{3} \text{ kilograms per minute} \]
For the selection of the process:
Correct Response:
- \( 3 \frac{1}{4} ÷ \frac{3}{4} \)