Subjects arithmetic

Weight Difference 24E93B

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1. **State the problem:** Find how many more ounces the basketball weighs compared to the baseball. 2. **Given:** - Weight of basketball = $21 \frac{1}{10}$ ounces - Weight of baseball = $5 \frac{1}{4}$ ounces 3. **Convert mixed numbers to improper fractions:** - Basketball: $21 \frac{1}{10} = 21 + \frac{1}{10} = \frac{210}{10} + \frac{1}{10} = \frac{211}{10}$ ounces - Baseball: $5 \frac{1}{4} = 5 + \frac{1}{4} = \frac{20}{4} + \frac{1}{4} = \frac{21}{4}$ ounces 4. **Find common denominator to subtract:** - Denominators are 10 and 4. Least common denominator (LCD) is 20. - Convert fractions: $$\frac{211}{10} = \frac{211 \times 2}{10 \times 2} = \frac{422}{20}$$ $$\frac{21}{4} = \frac{21 \times 5}{4 \times 5} = \frac{105}{20}$$ 5. **Subtract the weights:** $$\frac{422}{20} - \frac{105}{20} = \frac{422 - 105}{20} = \frac{317}{20}$$ 6. **Convert improper fraction to mixed number:** - Divide 317 by 20: $$317 \div 20 = 15 \text{ remainder } 17$$ - So, $$\frac{317}{20} = 15 \frac{17}{20}$$ 7. **Answer:** The basketball weighs $15 \frac{17}{20}$ ounces more than the baseball. 8. **Fill in the diagram:** - Weight of basketball: $21 \frac{1}{10}$ ounces - Weight of baseball: $5 \frac{1}{4}$ ounces - Difference (more ounces): $15 \frac{17}{20}$ ounces