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

225:[(26−6:3)×5]= 225:[(26-6:3)\times5]=

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Step-by-step video solution

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00:07 Let's tackle this problem together!
00:10 Always start by solving inside the parentheses.
00:14 And remember, solve the innermost parentheses first.
00:18 Multiplication and division come before addition and subtraction.
00:23 Now, let's work on these parentheses step by step.
00:33 Next, solve what’s inside the square brackets before moving on.
00:43 Write the division as a fraction. This makes it easier!
00:47 Break down 225 into 15 times 15.
00:53 And for 120, break it into 15 times 8.
00:57 Simplify everything you can; it helps a lot!
01:02 And there you have it—that's the solution!

Step-by-step written solution

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1

Understand the problem

225:[(26−6:3)×5]= 225:[(26-6:3)\times5]=

2

Step-by-step solution

First, we solve the exercise within the innermost parentheses:

(26−6:3)= (26-6:3)=

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

26−2=24 26-2=24

Now we obtain the exercise:

225:(24×5)= 225:(24\times5)=

We solve the multiplication exercise and then divide:

225:120=1.875 225:120=1.875

3

Final Answer

1.875

Practice Quiz

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\( 20\div(4+1)-3= \)

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