Question

A processing machine crushes 3 1/4
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

34÷314
3 fourths divided by 3 1 fourth

314−34
3 and 1 fourth minus 3 fourths

314×34
3 and 1 fourth times 3 fourths

314÷34
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

Enter your solution as a mixed number.


kilograms per minute

Answer 2

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.

1. **Identify the quantities:**
- Amount crushed in \( \frac{3}{4} \) minute = \( 3 \frac{1}{4} \) kilograms.

2. **Convert the mixed number to an improper fraction:**
- \( 3 \frac{1}{4} = \frac{13}{4} \) kilograms (since \( 3 \times 4 + 1 = 13 \)).

3. **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.

4. **Setting up the equation:**
- To find the kilograms crushed per minute, we can calculate:
\[
\text{Kilograms per minute} = \frac{13/4}{3/4}
\]

5. **Performing the division of fractions:**
- Dividing by a fraction is the same as multiplying by its reciprocal:
\[
\frac{13/4}{3/4} = 13/4 \times 4/3 = \frac{13 \times 4}{4 \times 3} = \frac{13}{3}
\]

6. **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:**
- \( 3 \frac{1}{4} ÷ \frac{3}{4} \)

Answer 3

The solution to the problem, as already calculated, is:

\[
4 \frac{1}{3} \text{ kilograms per minute}
\]

This means the answer is **4 1/3 kilograms per minute**.