Question

What is the product of −3 1 4 and −1 1 /2

Answer 1

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

`\bf \stackrel{mixed}{3(1)/(4)}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{13}{4}* -\cfrac{3}{2}\implies \cfrac{-13\cdot -3}{4\cdot 2}\implies \cfrac{39}{8}\implies 4(7)/(8)`