Question

A roll of tape has a total length of 150 inches. What is the length of the roll of tape, in yards?

(a) 4(1)/(6)
(b) 12(1)/(2)
(c) 16(2)/(3)
(d) 37(1)/(2)

Answer 1

To convert 150 inches to yards, divide by 36. The result is 4.1666..., which is 4(1)/(6) yards. Hence, the answer is (a) 4(1)/(6).

Step-by-step explanation:

The conversion process from inches to yards involves understanding the relationship between these units of measurement. Since one yard is equivalent to 36 inches, converting inches to yards requires dividing the given number of inches by 36. For instance, in the case of converting 150 inches to yards, the calculation would be 150 divided by 36, which results in approximately 4.1666 yards. This value represents the total length of the tape in yards.

Moreover, comprehending fractions in the context of measurements is important. Expressing the result as a mixed number, 4(1)/(6) yards, signifies 4 whole yards and one-sixth of a yard. This mixed number clarifies the measurement more precisely in terms of whole yards and the remaining fraction of a yard.

Therefore, when converting 150 inches to yards, the accurate representation in mixed number form is 4(1)/(6) yards, which serves as the correct response.