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

Question

asked Mar 6, 2023 227k views

1 Answer

Andris Krauze · Answer 1 · 2023-03-12T17:30:37+0000

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