What is the sum of 4 1/16 inches and 5 1/8 inches?

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Multiple Choice

What is the sum of 4 1/16 inches and 5 1/8 inches?

Explanation:
When adding mixed numbers with different fractional parts, align the fractions by using a common denominator and then convert back to a mixed number. Convert each part to a fraction with denominator 16: 4 1/16 becomes 65/16, and 5 1/8 becomes 82/16. Add them: 65/16 + 82/16 = 147/16. Now turn 147/16 into a mixed number: 16 goes into 147 nine times (9 × 16 = 144) with a remainder of 3, so it’s 9 3/16 inches. In decimal terms, that’s 9 + 3/16 = 9.1875 inches. The sum is 9 3/16 inches, which is slightly less than 9 1/4 inches (9.25).

When adding mixed numbers with different fractional parts, align the fractions by using a common denominator and then convert back to a mixed number.

Convert each part to a fraction with denominator 16: 4 1/16 becomes 65/16, and 5 1/8 becomes 82/16. Add them: 65/16 + 82/16 = 147/16. Now turn 147/16 into a mixed number: 16 goes into 147 nine times (9 × 16 = 144) with a remainder of 3, so it’s 9 3/16 inches.

In decimal terms, that’s 9 + 3/16 = 9.1875 inches. The sum is 9 3/16 inches, which is slightly less than 9 1/4 inches (9.25).

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