Question

Lin ran 2 3/4 miles in 2/5 of an hour. How far would Lin run in 1 hour?

Answer 1

$\begin{gathered} 2\frac{3}{4}=\frac{8+3}{4}=\frac{11}{4} \\ \frac{11}{4}mi\to\frac{2}{5}h \\ xmi\to1h \end{gathered}$

Using cross multiplication:

$\begin{gathered} \frac{11}{\frac{4}{x}}=\frac{2}{5} \\ x=\frac{11}{4}\cdot\frac{5}{2} \\ x=\frac{55}{8}mi=6\frac{7}{8}mi \end{gathered}$

Convert a mixed number to a fraction:

$a\frac{c}{b}=\frac{a\cdot b+c}{b}$