Solve Mixed Operations: 9/3 + 3×2 Step-by-Step

Order of Operations with Mixed Division

93+3×2= \frac{9}{3}+3\times2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:09 Remember, always do multiplication and division before addition and subtraction.
00:14 If there's a fraction, change it into a whole number to keep going.
00:19 And there you go! That's the solution to the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

93+3×2= \frac{9}{3}+3\times2=

2

Step-by-step solution

According to the order of operations, we first solve the multiplication exercise:

3×2=6 3\times2=6

Now we get the exercise:

93+6= \frac{9}{3}+6=

We solve the fraction:

93=3 \frac{9}{3}=3

Now we get:

3+6=9 3+6=9

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication come before addition and subtraction
  • Technique: Calculate 3×2=6 3\times2=6 and 93=3 \frac{9}{3}=3 first
  • Check: Work left to right: 3 + 6 = 9 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying or dividing
    Don't solve 93+3×2 \frac{9}{3}+3\times2 as 123×2=8 \frac{12}{3}\times2=8 ! This ignores PEMDAS and gives the wrong answer. Always do multiplication and division first, then addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 74+32+6+4+4=\text{?} \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

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The order of operations (PEMDAS) is a mathematical rule that everyone follows. Without it, 93+3×2 \frac{9}{3}+3\times2 could have multiple answers, causing confusion!

Do I solve the fraction first or the multiplication first?

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It doesn't matter! Both division (93 \frac{9}{3} ) and multiplication (3×2 3\times2 ) have the same priority in PEMDAS, so you can do either one first.

What if I get a different answer?

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Double-check these steps: 93=3 \frac{9}{3}=3 , then 3×2=6 3\times2=6 , finally 3+6=9 3+6=9 . Make sure you're not adding before doing the multiplication!

Is there a trick to remember PEMDAS?

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Try "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Remember that multiplication/division are equal priority, as are addition/subtraction!

Why does order of operations matter in real life?

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Imagine calculating costs: buying 3 items at 2each</strong>plusa2 each</strong> plus a 9 shipping fee divided among 3 people. Without proper order, you'd get the wrong individual cost!

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