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Answer :
Sure! Let's find out how much more Maddie's chemistry textbook weighs compared to her geometry textbook by following these steps:
1. Identify the weights:
- The weight of the chemistry textbook is [tex]\(8 \frac{1}{4}\)[/tex] pounds.
- The weight of the geometry textbook is [tex]\(6 \frac{2}{4}\)[/tex] pounds.
2. Convert mixed numbers to decimals:
- For the chemistry textbook: [tex]\(8 \frac{1}{4}\)[/tex] is the same as [tex]\(8 + \frac{1}{4}\)[/tex].
- Convert [tex]\(\frac{1}{4}\)[/tex] to a decimal: [tex]\(\frac{1}{4} = 0.25\)[/tex].
- So, [tex]\(8 \frac{1}{4}\)[/tex] becomes [tex]\(8 + 0.25 = 8.25\)[/tex] pounds.
- For the geometry textbook: [tex]\(6 \frac{2}{4}\)[/tex] is the same as [tex]\(6 + \frac{2}{4}\)[/tex].
- Convert [tex]\(\frac{2}{4}\)[/tex] to a decimal: [tex]\(\frac{2}{4} = 0.5\)[/tex].
- So, [tex]\(6 \frac{2}{4}\)[/tex] becomes [tex]\(6 + 0.5 = 6.5\)[/tex] pounds.
3. Calculate the difference:
- Subtract the weight of the geometry textbook from the weight of the chemistry textbook:
[tex]\[
8.25 - 6.5 = 1.75
\][/tex]
- Therefore, the chemistry textbook weighs [tex]\(1.75\)[/tex] pounds more than the geometry textbook.
So, the chemistry textbook weighs [tex]\(\boxed{1.75}\)[/tex] pounds more than the geometry textbook.
1. Identify the weights:
- The weight of the chemistry textbook is [tex]\(8 \frac{1}{4}\)[/tex] pounds.
- The weight of the geometry textbook is [tex]\(6 \frac{2}{4}\)[/tex] pounds.
2. Convert mixed numbers to decimals:
- For the chemistry textbook: [tex]\(8 \frac{1}{4}\)[/tex] is the same as [tex]\(8 + \frac{1}{4}\)[/tex].
- Convert [tex]\(\frac{1}{4}\)[/tex] to a decimal: [tex]\(\frac{1}{4} = 0.25\)[/tex].
- So, [tex]\(8 \frac{1}{4}\)[/tex] becomes [tex]\(8 + 0.25 = 8.25\)[/tex] pounds.
- For the geometry textbook: [tex]\(6 \frac{2}{4}\)[/tex] is the same as [tex]\(6 + \frac{2}{4}\)[/tex].
- Convert [tex]\(\frac{2}{4}\)[/tex] to a decimal: [tex]\(\frac{2}{4} = 0.5\)[/tex].
- So, [tex]\(6 \frac{2}{4}\)[/tex] becomes [tex]\(6 + 0.5 = 6.5\)[/tex] pounds.
3. Calculate the difference:
- Subtract the weight of the geometry textbook from the weight of the chemistry textbook:
[tex]\[
8.25 - 6.5 = 1.75
\][/tex]
- Therefore, the chemistry textbook weighs [tex]\(1.75\)[/tex] pounds more than the geometry textbook.
So, the chemistry textbook weighs [tex]\(\boxed{1.75}\)[/tex] pounds more than the geometry textbook.
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