Add 3/4 and 5/6. What is the sum in mixed-number form?

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Multiple Choice

Add 3/4 and 5/6. What is the sum in mixed-number form?

Explanation:
When adding fractions with different denominators, you first rewrite them so they share a common denominator. The smallest common denominator for 4 and 6 is 12, so convert each: 3/4 becomes 9/12 and 5/6 becomes 10/12. Add the numerators: 9/12 + 10/12 = 19/12. This is an improper fraction, so turn it into a mixed number: 19/12 = 1 with a remainder of 7, giving 1 7/12. A quick check with decimals (0.75 + 0.8333) ≈ 1.5833 matches 1 7/12.

When adding fractions with different denominators, you first rewrite them so they share a common denominator. The smallest common denominator for 4 and 6 is 12, so convert each: 3/4 becomes 9/12 and 5/6 becomes 10/12. Add the numerators: 9/12 + 10/12 = 19/12. This is an improper fraction, so turn it into a mixed number: 19/12 = 1 with a remainder of 7, giving 1 7/12. A quick check with decimals (0.75 + 0.8333) ≈ 1.5833 matches 1 7/12.

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