Question

Multiply. (−5 2/5)⋅3 7/10. −19 49/50. −15 7/25. −9 1/10. -1 7/10

Answer 1

`(-5(2)/(5))\cdot3(7)/(10)=`

To perform this multiplication, first, we have to transform the mixed numbers into fractions as follows:

`-5(2)/(5)=-(5\cdot5+2)/(5)=-(27)/(5)`
`3(7)/(10)=(3\cdot10+7)/(10)=(37)/(10)`

Substituting these values into the multiplication, we get:

`\begin{gathered} (-5(2)/(5))\cdot3(7)/(10)= \\ =(-(27)/(5))\cdot(37)/(10)= \\ =-(27\cdot37)/(5\cdot10)= \\ =-(999)/(50) \end{gathered}`

This result can be expressed as a mixed number as follows:

`-(999)/(50)=-(950+49)/(50)=-((950)/(50)+(49)/(50))=-(19+(49)/(50))=-19(49)/(50)`