Question

What is the Perform the indicated operation. 1 1/7 ∙ 2 4/5

Answer 1

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

`\stackrel{mixed}{1(1)/(7)}\implies \cfrac{1\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{8}{7}} ~\hfill \stackrel{mixed}{2(4)/(5)} \implies \cfrac{2\cdot 5+4}{5} \implies \stackrel{improper}{\cfrac{14}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{8}{7}\cdot \cfrac{14}{5}\implies \cfrac{8}{5}\cdot \cfrac{14}{7}\implies \cfrac{8}{5}\cdot 2\implies \cfrac{16}{5}\implies 3(1)/(5)`