Question

unit rates with fractions (7.rpa.1)
a runner completes \\(\frac{3}{4}\\) mile in 6 minutes.
what is their speed in miles per minute?
answer with only a number.

Explanation:

Step1: Recall speed formula

Speed is distance divided by time, so \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Substitute values

Distance is \( \frac{3}{4} \) mile, time is 6 minutes. So \( \text{Speed} = \frac{\frac{3}{4}}{6} \).

Step3: Divide fractions

Dividing by a number is multiplying by its reciprocal: \( \frac{3}{4} \times \frac{1}{6} = \frac{3}{24} = \frac{1}{8} \).

Answer:

\( \frac{1}{8} \)