High School

You buy [tex]$5 \frac{1}{2}$[/tex] pounds of potatoes and [tex]$4 \frac{5}{16}$[/tex] pounds of grapes. How many more pounds of potatoes do you buy than grapes?

Answer :

To solve the problem of finding out how many more pounds of potatoes you buy than grapes, follow these steps:

1. Understand the mixed fractions provided:
- Potatoes: [tex]\( 5 \frac{1}{2} \)[/tex] pounds
- Grapes: [tex]\( 4 \frac{5}{16} \)[/tex] pounds

2. Convert mixed fractions to improper fractions or decimal form:
- For the potatoes: [tex]\( 5 \frac{1}{2} \)[/tex]
- Convert [tex]\( \frac{1}{2} \)[/tex] to decimal form: [tex]\( \frac{1}{2} = 0.5 \)[/tex]
- Therefore, [tex]\( 5 \frac{1}{2} = 5 + 0.5 = 5.5 \)[/tex] pounds

- For the grapes: [tex]\( 4 \frac{5}{16} \)[/tex]
- Convert [tex]\( \frac{5}{16} \)[/tex] to decimal form: [tex]\( \frac{5}{16} = 0.3125 \)[/tex]
- Therefore, [tex]\( 4 \frac{5}{16} = 4 + 0.3125 = 4.3125 \)[/tex] pounds

3. Subtract the amount of grapes from the amount of potatoes to find the difference:
- Potatoes: 5.5 pounds
- Grapes: 4.3125 pounds

- Difference: [tex]\( 5.5 - 4.3125 = 1.1875 \)[/tex] pounds

This means you buy 1.1875 more pounds of potatoes than grapes.

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