Question

Ebony walked at arate of 3 1/2 miles per hour for 1 1/3 how far did she walk?

Answer 1

let's firstly convert the mixed fractions to improper fractions.

`\bf \stackrel{mixed}{3(1)/(2)}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1(1)/(3)}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}`

`\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ (7)/(2)&1\\[0.8em] m&(4)/(3) \end{array}\implies \cfrac{~~(7)/(2)~~}{m}=\cfrac{~~1~~}{(4)/(3)}\implies \cfrac{7}{2m}=\cfrac{3}{4}\implies 28=6m \\\\\\ \cfrac{28}{6}=m\implies \cfrac{14}{3}=m\implies 4(2)/(3)=m`