To find how many miles Francis can run in one hour, we divide the distance he ran by the fraction of an hour he ran for: \[
\begin{array}{c|c}
\text{Miles} & \text{Hours} \\
\hline
2 \frac{1}{5} & \frac{7}{12}
\end{array}
\] When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction: \[
2 \frac{1}{5} \div \frac{7}{12} = 2 \frac{1}{5} \cdot \frac{12}{7}
\] Simplifying the fraction gives \[
2 \frac{1}{5} \cdot \frac{12}{7} = \frac{11}{5} \cdot \frac{12}{7} = \frac{11 \cdot 12}{5 \cdot 7} = \frac{132}{35}
\] This fraction simplifies to 3 $\frac{17}{35}$. Answer: $\boxed{\textbf{(A) } 3 \frac{27}{35}}$.
Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour
A. 3 27/35
B. 18 6/7
C. 35/132
D. 3 16/35
1 answer
1 answer