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Answer :
Sure! Let's solve this question step-by-step:
1. Identify the Known Values:
- Total weight of grains in the box: 512 grams.
- Weight of one grain: 56 grams.
2. Determine the Number of Whole Grains:
- To find the number of whole grains, divide the total weight of grains by the weight of one grain.
- [tex]\( \text{Number of whole grains} = \frac{512}{56} \)[/tex].
- This division results in approximately 9.142857142857142, which means there are 9 whole grains.
3. Calculate the Fractional Part:
- After determining the whole grains, you need to find the remainder or the fractional part of the grains.
- The remainder from the division [tex]\( 512 \, \text{mod} \, 56 \)[/tex] is 8.
4. Formulate the Mixed Number:
- The result gives us 9 whole grains and a remainder that can form a fraction.
- The fraction formed by the remainder is [tex]\( \frac{8}{56} \)[/tex].
- Simplify [tex]\( \frac{8}{56} \)[/tex] to [tex]\( \frac{1}{7} \)[/tex].
5. Combine Whole and Fractional Part:
- Therefore, the number of grains in the box is [tex]\( 9 \frac{1}{7} \)[/tex].
Looking at the given options, none of them matches exactly with [tex]\( 9 \frac{1}{7} \)[/tex], suggesting a slight difference in interpretation or simplification in the available choices.
Please take into consideration that the Python answer provided a direct calculation leading to this understanding, but for the choices given, the closest choice to the approximate calculation and the unique fraction provided is considered.
1. Identify the Known Values:
- Total weight of grains in the box: 512 grams.
- Weight of one grain: 56 grams.
2. Determine the Number of Whole Grains:
- To find the number of whole grains, divide the total weight of grains by the weight of one grain.
- [tex]\( \text{Number of whole grains} = \frac{512}{56} \)[/tex].
- This division results in approximately 9.142857142857142, which means there are 9 whole grains.
3. Calculate the Fractional Part:
- After determining the whole grains, you need to find the remainder or the fractional part of the grains.
- The remainder from the division [tex]\( 512 \, \text{mod} \, 56 \)[/tex] is 8.
4. Formulate the Mixed Number:
- The result gives us 9 whole grains and a remainder that can form a fraction.
- The fraction formed by the remainder is [tex]\( \frac{8}{56} \)[/tex].
- Simplify [tex]\( \frac{8}{56} \)[/tex] to [tex]\( \frac{1}{7} \)[/tex].
5. Combine Whole and Fractional Part:
- Therefore, the number of grains in the box is [tex]\( 9 \frac{1}{7} \)[/tex].
Looking at the given options, none of them matches exactly with [tex]\( 9 \frac{1}{7} \)[/tex], suggesting a slight difference in interpretation or simplification in the available choices.
Please take into consideration that the Python answer provided a direct calculation leading to this understanding, but for the choices given, the closest choice to the approximate calculation and the unique fraction provided is considered.
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