Question

What is the unit rate of 3 1/2 1 1/4

Answer 1

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

`\stackrel{mixed}{3(1)/(2)}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1(1)/(4)} \implies \cfrac{1\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~ ( 7)/( 2) ~~}{(5)/(4)}\implies \cfrac{7}{2}\cdot \cfrac{4}{5}\implies \cfrac{7}{5}\cdot \cfrac{4}{2}\implies \cfrac{7}{5}\cdot 2\implies \cfrac{14}{5}\implies 2(4)/(5)\implies 2.8`