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Question

Question 1
A processing machine crushes 314
kilograms of dried fruits in 34
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

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Answer 1

To determine the kilograms of fruit crushed in one minute, you need to divide the total kilograms by the total minutes.

Question 1

The correct process to solve this problem is:

314 ÷ 34

Now, let's go to Question 2.

Question 2

To compute the kilograms of fruit crushed in one minute:

\[ \frac{314}{34} = 9.23529411764706 \]

Since the answer needs to be in mixed number format, we can simplify \(314 ÷ 34\).

1. Divide 314 by 34:
   • 34 goes into 314 a total of \(9\) times (since \(34 \times 9 = 306\)).
   • Subtract \(306\) from \(314\): \(314 - 306 = 8\).

So, we have \(9\) whole kilograms and a remainder of \(8\).

2. Therefore, the mixed number becomes: \[ 9 \frac{8}{34} \]

3. Simplifying the fraction \( \frac{8}{34} \):

   • \( \frac{8 \div 2}{34 \div 2} = \frac{4}{17} \).

Thus, the final answer in mixed number form is:

9 \(\frac{4}{17}\) kilograms per minute.

Answer 2

The last question was wrong

Answer 3

I apologize for any confusion. Let's go through the calculations again step by step to find the kilograms of fruit crushed in one minute correctly.

Given Data

• Total kilograms of dried fruits: 314 kg
• Total time in minutes: 34 minutes

Calculation

To find the kilograms of fruit crushed per minute, we divide the total kilograms by the total minutes:

\[ \text{Kilograms per minute} = \frac{314 \text{ kg}}{34 \text{ min}} \]

Now let's perform the division:

1. Calculate \( 314 ÷ 34 \)

   • Perform the division:
   • \( 314 \div 34 \approx 9.23529411764706 \)

To express this as a mixed number:

1. \( 34 \) fits into \( 314 \) approximately \( 9 \) times (since \( 34 \times 9 = 306 \)).
2. The remainder after subtracting is \( 314 - 306 = 8 \).

Now we can express this as a mixed number:

\[ 9 \frac{8}{34} \]

Next, simplify the fraction \( \frac{8}{34} \):

• The greatest common divisor (GCD) of 8 and 34 is 2, so we simplify: \[ \frac{8 \div 2}{34 \div 2} = \frac{4}{17} \]

Final Answer

Thus, the answer in mixed number form is:

9 \(\frac{4}{17}\) kilograms per minute

Let me know if you need any further assistance!