What is the sum of 2 3/4 inches and 7 3/8 inches?

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Multiple Choice

What is the sum of 2 3/4 inches and 7 3/8 inches?

Explanation:
Adding mixed numbers works by handling the fractional parts with a common denominator, then combining and restoring a mixed number. Convert each to an improper fraction: 2 3/4 becomes 11/4, and 7 3/8 becomes 59/8. Use a common denominator to add: 11/4 is 22/8, so 22/8 + 59/8 = 81/8. Convert back to a mixed number: 81 ÷ 8 is 10 with a remainder of 1, giving 10 1/8. A quick decimal check—2.75 + 7.375—also equals 10.125, which is 10 1/8. The sum is 10 1/8 inches.

Adding mixed numbers works by handling the fractional parts with a common denominator, then combining and restoring a mixed number.

Convert each to an improper fraction: 2 3/4 becomes 11/4, and 7 3/8 becomes 59/8. Use a common denominator to add: 11/4 is 22/8, so 22/8 + 59/8 = 81/8. Convert back to a mixed number: 81 ÷ 8 is 10 with a remainder of 1, giving 10 1/8. A quick decimal check—2.75 + 7.375—also equals 10.125, which is 10 1/8. The sum is 10 1/8 inches.

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