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

Order of Operations with Fraction Division

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

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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 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

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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

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\( 9+3-1= \)

FAQ

Everything you need to know about this question

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

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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?

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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?

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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?

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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?

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

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