Question

-2 5/7 x (-4 2/3). with steps

Answer 1

We want to do the following multiplication:

`(-2(5)/(7))\cdot(-4(2)/(3))`

Let's transform that into a normal fraction:

`\begin{gathered} 2(5)/(7)=2+(5)/(7)=(14+5)/(7)=(19)/(7) \\ \\ 2(5)/(7)=(19)/(7) \end{gathered}`

and the other fraction

`\begin{gathered} \text{ 4}(2)/(3)=4+(2)/(3)=(12+2)/(3)=(14)/(3) \\ \\ 4(2)/(3)=(14)/(3) \end{gathered}`

Therefore we can multiply the following fractions:

`\begin{gathered} (-(19)/(7))\cdot(-(14)/(3)) \\ \\ \end{gathered}`

The result is

`(-(19)/(7))(-(14)/(3))=(19)/(7)\cdot(14)/(3)=(19)/(1)\cdot(2)/(3)=(38)/(3)`

Therefore

`(-2(5)/(7))\cdot(-4(2)/(3))=(38)/(3)`

if we want we can write it in the same form as the others

Final answer

`(38)/(3)=12(2)/(3)`