Solve 60÷(5×3): Order of Operations Practice

Division with Parentheses Simplification

60:(5×3)= 60:(5\times3)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's write division as a fraction
00:08 Let's break down 60 into factors 20 and 3
00:14 Let's reduce what we can
00:18 Let's break down 20 into factors 5 and 4
00:24 Let's reduce what we can
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

60:(5×3)= 60:(5\times3)=

2

Step-by-step solution

We write the exercise in fraction form:

605×3 \frac{60}{5\times3}

We break down 60 into a multiplication exercise:

20×35×3= \frac{20\times3}{5\times3}=

We simplify the 3s and obtain:

205 \frac{20}{5}

We break down the 5 into a multiplication exercise:

5×45= \frac{5\times4}{5}=

We simplify the 5 and obtain:

41=4 \frac{4}{1}=4

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Rule: Solve operations inside parentheses first in order of operations
  • Technique: Convert division to fraction form: 60:(5×3)=605×3 60:(5\times3) = \frac{60}{5\times3}
  • Check: Verify by computing 5×3=15 5\times3=15 , then 60÷15=4 60\div15=4

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and dividing left to right
    Don't calculate 60÷5×3 = 12×3 = 36! This ignores the parentheses which change the order completely. Always solve what's inside parentheses first: 5×3 = 15, then 60÷15 = 4.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(5+55)= \)

FAQ

Everything you need to know about this question

Why can't I just divide 60÷5 first and then multiply by 3?

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The parentheses tell you that 5×3 must be calculated as one unit first! Without parentheses, you'd go left to right, but parentheses override the normal order and group operations together.

What's the difference between 60÷5×3 and 60÷(5×3)?

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Huge difference! 60÷5×3 = 36 (left to right), but 60÷(5×3) = 4 (parentheses first). The parentheses completely change which operations are grouped together.

Is writing it as a fraction really necessary?

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Not necessary, but very helpful! Writing 605×3 \frac{60}{5\times3} makes it crystal clear that everything in the denominator must be calculated first before dividing.

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Parentheses always come first!

Can I simplify the fraction like in the explanation?

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Yes! The explanation shows a clever method: 605×3=20×35×3 \frac{60}{5\times3} = \frac{20\times3}{5\times3} , then cancel the 3s. This factoring approach helps you see patterns and avoid calculator errors.

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