A processing machine crushes 3 1/4

Question

kilograms of dried fruits in 3/4
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

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Answer 1

To determine how many kilograms of dried fruits are crushed per minute, you divide the total weight of the fruits by the time taken.

In this case, you have 3 1/4 kilograms being crushed in 3/4 minute. To solve this, you want to perform the division:

Process: You should use the operation 3 1/4 divided by 3/4.

So, the correct answer for the first question is:

3 1/4 ÷ 3/4

Solution:

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

   • 3 1/4 = (3 * 4 + 1)/4 = 13/4

2. The division of fractions can be performed as follows:

   • Division by a fraction is the same as multiplication by its reciprocal.
   • Therefore, (13/4) ÷ (3/4) = (13/4) * (4/3)

3. Now, perform the multiplication:

   • (13 * 4) / (4 * 3) = 52/12

4. Simplify the fraction:

   • 52/12 = (52 ÷ 4) / (12 ÷ 4) = 13/3

5. To express 13/3 as a mixed number:

   • 13/3 = 4 1/3

Final Answer:

4 1/3 kilograms per minute.