A processing machine crushes 3 1/4

Question

kilograms of dried fruits in 3/4
minute.

Determine the kilograms of fruit crushed in one minute.

What process will you use to solve this problem?

(1 point)
Responses

3/4÷3 1/4
3 fourths divided by 3 1 fourth

3 1/4−3/4
3 and 1 fourth minus 3 fourths

3 1/4×3/4
3 and 1 fourth times 3 fourths

3 1/4÷3/4
3 and 1 fourth divided by 3 fourths
Question 2
(1 point)
Enter your solution as a mixed number.


kilograms per minute

Skip to navigation

Answer 1

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:

1. Convert 3 1/4 to an improper fraction:

   • $31/4=3\times 4+1=12+1=13/4$

2. Now, express the division of fractions:

   • $\frac{13}{4}÷\frac{3}{4}$

3. To divide by a fraction, multiply by its reciprocal:

   • $\frac{13}{4}\times \frac{4}{3}$

4. Multiply:

   • $=\frac{13\times 4}{4\times 3}=\frac{13}{3}$

5. 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.