Solve (90-15-3)÷8: Order of Operations Practice

Order of Operations with Fraction Division

901538= \frac{90-15-3}{8}=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's calculate the numerator, one operation at a time from left to right
00:19 Let's break down 72 into factors 9 and 8
00:23 Let's reduce what we can
00:28 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

901538= \frac{90-15-3}{8}=

2

Step-by-step solution

According to the order of operations rules, we will solve the fraction numerator.

Since the exercise only has a subtraction operation, we will solve it from left to right:

9015=75 90-15=75

753=72 75-3=72

Now we will get the fraction:

728 \frac{72}{8}

We will simplify the numerator and denominator by 8 and get:

91=9 \frac{9}{1}=9

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • Rule: Solve numerator operations first, then divide by denominator
  • Technique: Work left to right: 90 - 15 = 75, then 75 - 3 = 72
  • Check: Verify 72 ÷ 8 = 9 by multiplying: 9 × 8 = 72 ✓

Common Mistakes

Avoid these frequent errors
  • Dividing before completing numerator operations
    Don't calculate 90 ÷ 8 - 15 ÷ 8 - 3 ÷ 8 = 8.75! This ignores the fraction bar grouping symbol. Always complete all numerator operations first, then divide the final result by the denominator.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( 12+3\cdot0= \)

FAQ

Everything you need to know about this question

Why can't I just divide each number by 8 separately?

+

The fraction bar acts like parentheses around the numerator! You must complete all operations above the bar first, then divide the result by what's below the bar.

What if I get confused about the order of subtraction?

+

When you have multiple subtractions like 90153 90-15-3 , always work from left to right: first 9015=75 90-15=75 , then 753=72 75-3=72 .

How do I know when to simplify fractions?

+

Always check if the numerator and denominator share common factors. Here, both 72 and 8 are divisible by 8, so 728=9 \frac{72}{8} = 9 .

Is there a way to check my fraction division?

+

Yes! Multiply your answer by the denominator. If you get the numerator back, you're correct: 9×8=72 9 \times 8 = 72

What if my answer isn't a whole number?

+

That's perfectly fine! Many fraction problems result in decimals or mixed numbers. Just make sure your calculations are accurate and verify your work.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Order of Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations