Solve (7+8-3)/2÷3+4: Order of Operations Practice

Q: Why do I solve the numerator 7+8-3 first?

The fraction bar acts like parentheses around the numerator! Just like in $ (7+8-3)÷2 $, you must solve everything above the line before dividing.

Q: What's the difference between ÷ and : symbols?

Both symbols mean division - they're interchangeable! $ 6÷3 $ and $ 6:3 $ both equal 2. Different countries use different symbols.

Q: Should I do 6÷3 or +4 first in the final step?

Always do division before addition! In $ 6÷3+4 $, solve $ 6÷3=2 $ first, then $ 2+4=6 $.

Q: How can I remember PEMDAS order?

Try "Please Excuse My Dear Aunt Sally" - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Remember: do multiplication and division from left to right!

Q: What if I get a different answer?

Double-check each step! Most errors happen by skipping the fraction bar rule or doing addition before division. Work slowly and verify: numerator first, then divide, then remaining operations.

Order of Operations with Mixed Division

Complete the following exercise:

$\frac{7+8-3}{2}:3+4=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We always solve from left to right

00:11 Let's continue calculating the numerator

00:18 Always solve multiplication and division before addition and subtraction

00:27 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

Complete the following exercise:

$\frac{7+8-3}{2}:3+4=$

Step-by-step solution

First, let's solve the exercise that was broken down:

$7+8-3=15-3=12$

We receive the breakdown:

$\frac{12}{2}=6$

Now, let's solve the exercise:

$6:3+4=$

According to the order of operations, we'll first solve the division exercise and then proceed:

$6:3=2$

$2+4=6$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (left to right)
Technique: Solve numerator first: 7+8-3=12, then divide: 12÷2=6
Check: Final calculation 6÷3+4 = 2+4 = 6 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve (7+8-3)/2÷3+4 by going left to right = wrong answer of 4! This ignores the fraction bar which acts like parentheses around the numerator. Always solve what's above the fraction line first, then divide, then continue with remaining operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why do I solve the numerator 7+8-3 first?

The fraction bar acts like parentheses around the numerator! Just like in $(7+8-3)÷2$ , you must solve everything above the line before dividing.

What's the difference between ÷ and : symbols?

Both symbols mean division - they're interchangeable! $6÷3$ and $6:3$ both equal 2. Different countries use different symbols.

Should I do 6÷3 or +4 first in the final step?

Always do division before addition! In $6÷3+4$ , solve $6÷3=2$ first, then $2+4=6$ .

How can I remember PEMDAS order?

Try "Please Excuse My Dear Aunt Sally" - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Remember: do multiplication and division from left to right!

What if I get a different answer?

Double-check each step! Most errors happen by skipping the fraction bar rule or doing addition before division. Work slowly and verify: numerator first, then divide, then remaining operations.

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Solve (7+8-3)/2÷3+4: Order of Operations Practice

Order of Operations with Mixed Division

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I solve the numerator 7+8-3 first?

What's the difference between ÷ and : symbols?

Should I do 6÷3 or +4 first in the final step?

How can I remember PEMDAS order?

What if I get a different answer?

🌟 Unlock Your Math Potential

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