Answer :
Sure! Let's find out how many more pounds of potatoes you bought compared to grapes with a detailed, step-by-step solution.
1. Understand the problem:
- You have purchased [tex]\(5 \frac{1}{2}\)[/tex] pounds of potatoes.
- You have purchased [tex]\(4 \frac{5}{16}\)[/tex] pounds of grapes.
- We need to determine how many more pounds of potatoes you bought than grapes.
2. Convert the mixed numbers to improper fractions or decimals for easier comparison:
- [tex]\(5 \frac{1}{2}\)[/tex] pounds:
- First, convert [tex]\( \frac{1}{2} \)[/tex] to a decimal which is [tex]\(0.5\)[/tex].
- Therefore, [tex]\(5 \frac{1}{2}\)[/tex] pounds is [tex]\(5 + 0.5 = 5.5\)[/tex] pounds.
- [tex]\(4 \frac{5}{16}\)[/tex] pounds:
- First, convert [tex]\( \frac{5}{16} \)[/tex] to a decimal. To do this, divide 5 by 16 which is [tex]\(0.3125\)[/tex].
- Therefore, [tex]\(4 \frac{5}{16}\)[/tex] pounds is [tex]\(4 + 0.3125 = 4.3125\)[/tex] pounds.
3. Calculate the difference:
- Subtract the total pounds of grapes from the total pounds of potatoes:
[tex]\(5.5 - 4.3125 = 1.1875\)[/tex]
4. Conclusion:
- You bought [tex]\(1.1875\)[/tex] pounds more potatoes than grapes.
So, the final answer is that you bought [tex]\(1.1875\)[/tex] pounds more potatoes than grapes.
1. Understand the problem:
- You have purchased [tex]\(5 \frac{1}{2}\)[/tex] pounds of potatoes.
- You have purchased [tex]\(4 \frac{5}{16}\)[/tex] pounds of grapes.
- We need to determine how many more pounds of potatoes you bought than grapes.
2. Convert the mixed numbers to improper fractions or decimals for easier comparison:
- [tex]\(5 \frac{1}{2}\)[/tex] pounds:
- First, convert [tex]\( \frac{1}{2} \)[/tex] to a decimal which is [tex]\(0.5\)[/tex].
- Therefore, [tex]\(5 \frac{1}{2}\)[/tex] pounds is [tex]\(5 + 0.5 = 5.5\)[/tex] pounds.
- [tex]\(4 \frac{5}{16}\)[/tex] pounds:
- First, convert [tex]\( \frac{5}{16} \)[/tex] to a decimal. To do this, divide 5 by 16 which is [tex]\(0.3125\)[/tex].
- Therefore, [tex]\(4 \frac{5}{16}\)[/tex] pounds is [tex]\(4 + 0.3125 = 4.3125\)[/tex] pounds.
3. Calculate the difference:
- Subtract the total pounds of grapes from the total pounds of potatoes:
[tex]\(5.5 - 4.3125 = 1.1875\)[/tex]
4. Conclusion:
- You bought [tex]\(1.1875\)[/tex] pounds more potatoes than grapes.
So, the final answer is that you bought [tex]\(1.1875\)[/tex] pounds more potatoes than grapes.