Solve 4×2-3÷(1+3): Order of Operations Practice

Order of Operations with Mixed Numbers

Solve the following exercise:

4⋅2−3:(1+3)= 4\cdot2-3:(1+3)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Let's start with the parentheses
00:09 Multiplication and division precede subtraction

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

4⋅2−3:(1+3)= 4\cdot2-3:(1+3)=

2

Step-by-step solution

First, we solve the exercise within the parentheses:

4⋅2−3:4= 4\cdot2-3:4=

We place multiplication and division exercises within parentheses:

(4⋅2)−(3:4)= (4\cdot2)-(3:4)=

We solve the exercises within the parentheses:

8−34=714 8-\frac{3}{4}=7\frac{1}{4}

3

Final Answer

714 7\frac{1}{4}

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication and division left to right
  • Division as Fraction: Convert 3÷4 to 34 \frac{3}{4} for easier subtraction
  • Check Work: Verify 8 - 34 \frac{3}{4} = 714 7\frac{1}{4} using original expression ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following PEMDAS
    Don't solve 4×2-3÷(1+3) as (4×2-3)÷(1+3) = 5÷4! This ignores order of operations and gives 114 1\frac{1}{4} instead of 714 7\frac{1}{4} . Always follow PEMDAS: parentheses first, then multiplication and division separately from left to right.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 187\times(8-5)= \)

FAQ

Everything you need to know about this question

Why do I solve (1+3) first even though it comes last?

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Parentheses always come first in PEMDAS! No matter where they appear in the expression, you must solve what's inside parentheses before doing any other operations.

Should I do 4×2 or 3÷4 first after the parentheses?

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Both multiplication and division have equal priority, so you work from left to right. Do 4×2 = 8 first, then 3÷4 = 34 \frac{3}{4} .

How do I subtract a fraction from a whole number?

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Convert the whole number to a mixed number with the same denominator. So 8 - 34 \frac{3}{4} becomes 744 7\frac{4}{4} - 34 \frac{3}{4} = 714 7\frac{1}{4} .

What if I wrote 3÷4 as 0.75 instead?

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That works too! You'd get 8 - 0.75 = 7.25, which equals 714 7\frac{1}{4} . Both decimal and fraction forms are correct.

Why is the answer choice 1 wrong?

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Getting 1 means you probably calculated (4×2-3)÷(1+3) = 5÷4 = 114 1\frac{1}{4} . This ignores the proper order of operations and treats the expression like it has extra parentheses.

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