Evaluate the Expression: (5+3-2)/3 Step by Step

Order of Operations with Fraction Division

5+3−23= \frac{5+3-2}{3}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this math problem together.
00:08 Remember, we need to follow the right order of operations from left to right.
00:14 We'll tackle each step, one at a time, so you can understand clearly.
00:23 Now, let's see how we arrive at the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

5+3−23= \frac{5+3-2}{3}=

2

Step-by-step solution

Let's begin by solving the numerator of the fraction according to the order of operations, from left to right:

5+3=8 5+3=8

8−2=6 8-2=6

We should obtain the following exercise:

63=6:3=2 \frac{6}{3}=6:3=2

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Final Answer

2

Key Points to Remember

Essential concepts to master this topic
  • Order Rule: Solve operations inside numerator first, then divide
  • Technique: Calculate 5+3-2=6 step by step before dividing
  • Check: Verify 6÷3=2 makes sense with original expression ✓

Common Mistakes

Avoid these frequent errors
  • Dividing each term separately by denominator
    Don't calculate 5/3 + 3/3 - 2/3 = 2! This ignores order of operations and gives wrong results. Always solve the numerator completely first, then divide the result by the denominator.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Do I divide each number in the numerator by 3 separately?

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No! The fraction bar acts like parentheses. You must solve 5+3−2 5+3-2 completely first to get 6, then divide: 63=2 \frac{6}{3} = 2 .

Why can't I just work left to right: 5÷3, then +3, then -2?

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Because the fraction bar groups everything in the numerator together! Think of 5+3−23 \frac{5+3-2}{3} as (5+3−2)÷3 (5+3-2) ÷ 3 . The parentheses must be solved first.

What's the correct order of steps for this problem?

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Step 1: Calculate numerator: 5+3=8
Step 2: Continue: 8-2=6
Step 3: Divide result: 6÷3=2

How do I remember when to use order of operations with fractions?

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Remember PEMDAS! The fraction bar acts like parentheses, so solve everything above and below it first, then divide.

What if my numerator calculation gives me a number that doesn't divide evenly?

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That's okay! You might get a decimal or mixed number. For example, if the numerator was 7, then 73=213 \frac{7}{3} = 2\frac{1}{3} or 2.33...

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