Compare Expressions: 24:6:2 vs 24:(6:2) - Which Sign Fits?

Question

What is the correct sign?
$24:6:2$ _____ $24:(6:2)$

00:00 Determine what is the correct sign?

00:03 Let's calculate each side and then we'll know

00:07 Let's solve from left to right according to proper order of operations

00:10 This is the solution for the left side, now let's move to the right side

00:13 Always solve parentheses first

00:17 Let's continue solving as usual

00:21 And this is the solution to the question

We solve the exercise:

$24:6:2=$

According to the rules, we solve the exercise from left to right:

$24:6=4$

$4:2=2$

Now we solve the exercise:

$24:(6:2)=$

According to the rules, first we solve the exercise inside the parentheses and then we divide:

$6:2=3$

$24:3=8$

Therefore:

$3 < 8$

$<$