Middle School

Find the product. List the units.

\[
\frac{3}{4}h \times \frac{19 \text{ mi}}{\frac{1}{4}h}
\]

Options:
A. 0.01 Hours
B. 3.56 Miles
C. 14.44
D. 19
E. 57
F. 79

Answer :

Final answer:

The product of 3/4 hour and 19 miles per 1/4 hour is 57 miles, which indicates the distance traveled in 3/4 of an hour at that speed.

Explanation:

The problem given is to find the product of ¾ hour times 19 miles per ¼ hour. To solve, we would cancel the units of hours in the numerator and denominator, effectively multiplying the two numerators and dividing by the two denominators:

  1. Multiply the numerators: ¾ × 19 = 14.25.
  2. Multiply the denominators: 1 × ¼ = ¼.
  3. Divide the results of the numerators by the results of the denominators: 14.25 / ¼ = 14.25 × 4 = 57.

Therefore, the product is 57 miles, which indicates how far someone would travel in ¾ of an hour at a speed of 19 miles per ¼ hour.

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