Solve Division Problem: 225÷[(26-6÷3)×5] Using Order of Operations

Question

$225:[(26-6:3)\times5]=$

00:00 Solve

00:03 Always solve parentheses first

00:06 Even within parentheses, always solve inner parentheses first

00:09 Always solve multiplication and division before addition and subtraction

00:16 Let's calculate the parentheses

00:26 Let's solve the square brackets and then continue

00:36 Write division as a fraction

00:39 Factor 225 into factors 15 and 15

00:46 Factor 120 into factors 15 and 8

00:49 Simplify what's possible

00:55 And this is the solution to the problem

First, we solve the exercise within the innermost parentheses:

$(26-6:3)=$

According to the order of operations, we first divide and then subtract:

$26-2=24$

Now we obtain the exercise:

$225:(24\times5)=$

We solve the multiplication exercise and then divide:

$225:120=1.875$

1.875