Question

Can you help me with this?

Find the product.
8 2/5 * 5 1/2=?
A) 46 1/5
B) 40 1/5
C) 40
D) 40 2/5

May you explain it? IF possible! Thanks.

Answer 1

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

`\bf \stackrel{mixed}{8(2)/(5)}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{5(1)/(2)}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}\cdot \cfrac{11}{2}\implies \cfrac{42}{2}\cdot \cfrac{11}{5}\implies 21\cdot \cfrac{11}{5}\implies \cfrac{231}{5}\implies 46(1)/(5)`

Answer 2

the answer is a