What is -4(1)/(2) · (-6(2)/(3))

Question

What is -4
`(1)/(2)` · (-6
`(2)/(3)`)

Answer 1

well, you already know how to convert from mixed to improper, so let's simply do the multiplication, as it's very straightforward.

`\bf -4(1)/(2)\cdot \left( -6(2)/(3) \right)\implies -\cfrac{9}{2}\left( -\cfrac{20}{3} \right)\implies \cfrac{-9}{2}\left( \cfrac{-20}{3} \right)\implies \cfrac{-9}{3}\cdot \cfrac{-20}{2} \\\\\\ -3\cdot -10\implies 30`