Question

Drag numbers in the box to make each comparison true

Answer 1

`12*(4)/(8)\lt8,\:12*(4)/(6)=8,\:12*(4)/(3)\gt8`

1) Let's find the results of each inequality/equality so that we write out the right choices.

2) Let's begin with the equation. We're going to resort to Algebra:

`\begin{gathered} 12*(4)/(x)=8 \\ 12*4=8x \\ 48=8x \\ 8x=48 \\ (8x)/(8)=(48)/(8) \\ x=6 \\ 12*(4)/(6)=8{\color{DarkBlue} } \end{gathered}`

Based on that, we can tell that and filling in the gap with other whole numbers the following:

`\begin{gathered} 12*(4)/(8)<8 \\ 6<8 \\ 12*(4)/(6)=8 \\ 12*(4)/(3)>8 \\ 16>8 \end{gathered}`

Note that we picked whole numbers and it is clear that the greater the denominator the lesser the value.