Compute the sum of 4 1/16 inches and 7 3/8 inches.

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Multiple Choice

Compute the sum of 4 1/16 inches and 7 3/8 inches.

Explanation:
When adding these mixed numbers, handle the whole inches separate from the fractional parts. To combine the fractions, use a common denominator. Here, the fractional parts are 1/16 and 3/8. Convert 3/8 to sixteenths: 3/8 = 6/16. Then add the fractions: 1/16 + 6/16 = 7/16. For the whole inches, add 4 and 7 to get 11. The fractional sum is less than 1, so there’s no need to carry to the whole part. Put it together as 11 and 7/16 inches, which is 11 7/16 inches. That matches the total fractional part of 7/16; the other options would come from misadding the fractions or misplacing a carry.

When adding these mixed numbers, handle the whole inches separate from the fractional parts. To combine the fractions, use a common denominator. Here, the fractional parts are 1/16 and 3/8. Convert 3/8 to sixteenths: 3/8 = 6/16. Then add the fractions: 1/16 + 6/16 = 7/16.

For the whole inches, add 4 and 7 to get 11. The fractional sum is less than 1, so there’s no need to carry to the whole part. Put it together as 11 and 7/16 inches, which is 11 7/16 inches. That matches the total fractional part of 7/16; the other options would come from misadding the fractions or misplacing a carry.

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