A motor brush is 1 7/8 inches long. How long is it after 49/64 inch wears away?

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Multiple Choice

A motor brush is 1 7/8 inches long. How long is it after 49/64 inch wears away?

Explanation:
Subtracting wear from a mixed measurement means using a common denominator for the fractions. Convert 1 7/8 to a fraction with denominator 64: 7/8 becomes 56/64, so 1 7/8 is 1 56/64. Subtract the worn amount, 49/64, from 56/64 to get 7/64. Put the whole inches back together: 1 + 7/64 = 1 7/64 inches. So the length after wear is 1 7/64 inches. (Alternatively, 1 7/8 = 15/8 and 15/8 − 49/64 = 71/64 = 1 7/64, confirming the result.)

Subtracting wear from a mixed measurement means using a common denominator for the fractions. Convert 1 7/8 to a fraction with denominator 64: 7/8 becomes 56/64, so 1 7/8 is 1 56/64. Subtract the worn amount, 49/64, from 56/64 to get 7/64. Put the whole inches back together: 1 + 7/64 = 1 7/64 inches. So the length after wear is 1 7/64 inches. (Alternatively, 1 7/8 = 15/8 and 15/8 − 49/64 = 71/64 = 1 7/64, confirming the result.)

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