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

Question

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

00:00 Solve the following problem

00:03 Always solve the parentheses first

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

00:09 Multiplication and division precede addition and subtraction

00:16 Let's calculate the parentheses

00:26 Solve the square brackets and then continue

00:36 Write the 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 wherever possible

00:55 This is the solution

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