Solve 36/12 - 4 + 30: Mixed Operations Practice

Q: Why do I divide 36/12 first instead of going left to right?

Division has higher priority than addition and subtraction! According to order of operations (PEMDAS), you must complete all multiplication and division before moving to addition and subtraction.

Q: What if I get confused about whether to add or subtract first?

After handling division, addition and subtraction have equal priority, so you work left to right. In this case: 3 - 4 = -1, then -1 + 30 = 29.

Q: What if I accidentally calculated 36/12 wrong?

Always double-check your division! $ 36 ÷ 12 = 3 $ because $ 12 × 3 = 36 $. If you get the first step wrong, your entire answer will be incorrect.

Order of Operations with Fraction Division

$\frac{36}{12}-4+30=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Convert fraction to whole number

00:10 We'll continue solving according to proper order of operations from left to right

00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\frac{36}{12}-4+30=$

Step-by-step solution

First, we solve the fraction:

$\frac{36}{12}=3$

Now we get the exercise:

$3-4+30=$

We solve the exercise from left to right:

$3-4=-1$

$-1+30=29$

Final Answer

$29$

Key Points to Remember

Essential concepts to master this topic

Order Rule: Division and subtraction follow left-to-right sequence
Technique: Simplify $\frac{36}{12} = 3$ first, then calculate sequentially
Check: Verify 3 - 4 + 30 = 29 by working left-to-right ✓

Common Mistakes

Avoid these frequent errors

Adding 30 before subtracting 4
Don't calculate 3 + 30 - 4 = 29 by switching the order! This ignores left-to-right rules and can give wrong answers in other problems. Always work strictly from left to right after handling division first.

Practice Quiz

Test your knowledge with interactive questions

Solve:

$$ -5+4+1-3 $$

FAQ

Everything you need to know about this question

Why do I divide 36/12 first instead of going left to right?

Division has higher priority than addition and subtraction! According to order of operations (PEMDAS), you must complete all multiplication and division before moving to addition and subtraction.

What if I get confused about whether to add or subtract first?

After handling division, addition and subtraction have equal priority, so you work left to right. In this case: 3 - 4 = -1, then -1 + 30 = 29.

How do I handle the negative number in the middle?

Don't worry about negative numbers! Just follow the operations: $3 - 4 = -1$ , then $-1 + 30 = 29$ . The negative cancels out when you add 30.

Can I use a calculator for this type of problem?

Yes, but enter it carefully! Make sure your calculator follows order of operations. Enter: 36 ÷ 12 - 4 + 30 and it should give you 29.

What if I accidentally calculated 36/12 wrong?

Always double-check your division! $36 ÷ 12 = 3$ because $12 × 3 = 36$ . If you get the first step wrong, your entire answer will be incorrect.

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