Question

What is 3 2/5⋅2 1/3 ?
as a fraction
A. 5215
B.6215
C.71415
D.8115

Answer 1

let's firstly convert the mixed fractions to improper fractions and then multiply.

`\bf \stackrel{mixed}{3(2)/(5)}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}}~\hfill \stackrel{mixed}{2(1)/(3)}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{5}\cdot \cfrac{7}{3}\implies \cfrac{119}{15}\implies 7(14)/(15)`