What is the sum of 5 1/2 and 6 3/4?

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Multiple Choice

What is the sum of 5 1/2 and 6 3/4?

Explanation:
When adding mixed numbers, combine the whole parts and the fractional parts after making the fractions have a common denominator. Here, the fractions 1/2 and 3/4 need the same denominator, which is 4. Convert 1/2 to 2/4, then 2/4 + 3/4 = 5/4. That equals 1 whole and 1/4. Add the whole numbers: 5 + 6 = 11, then add the extra 1 from the fractions to get 12, with the remaining 1/4. So the sum is 12 1/4. You can also check by converting to improper fractions: 5 1/2 = 11/2 and 6 3/4 = 27/4; 22/4 + 27/4 = 49/4 = 12 1/4.

When adding mixed numbers, combine the whole parts and the fractional parts after making the fractions have a common denominator. Here, the fractions 1/2 and 3/4 need the same denominator, which is 4. Convert 1/2 to 2/4, then 2/4 + 3/4 = 5/4. That equals 1 whole and 1/4. Add the whole numbers: 5 + 6 = 11, then add the extra 1 from the fractions to get 12, with the remaining 1/4. So the sum is 12 1/4. You can also check by converting to improper fractions: 5 1/2 = 11/2 and 6 3/4 = 27/4; 22/4 + 27/4 = 49/4 = 12 1/4.

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