Solve 15:5+4×3: Order of Operations Practice Problem

Order of Operations with Division Symbols

15:5+4×3= 15:5+4\times3=

❤️ 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 Multiplication and division come before addition and subtraction, so we'll start with them
00:21 Let's first solve the exercises we marked
00:27 We're left with a simple addition exercise
00:30 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

15:5+4×3= 15:5+4\times3=

2

Step-by-step solution

According to the order of operations, we put the multiplication and division exercise in parentheses:

(15:5)+(4×3)= (15:5)+(4\times3)=

Now we solve the parentheses:

15:5=3 15:5=3

4×3=12 4\times3=12

And we get the exercise:

3+12=15 3+12=15

3

Final Answer

15

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication are performed before addition
  • Technique: Calculate 15:5=3 15:5=3 and 4×3=12 4\times3=12 first
  • Check: Verify that 3+12=15 3+12=15 matches your final answer ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't calculate 15:5+4 = 7 first and then multiply by 3 = 21! This ignores PEMDAS rules and gives completely wrong answers. Always handle division and multiplication before addition, regardless of their position in the expression.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

What does the colon (:) symbol mean in math?

+

The colon : is another way to write division, just like the ÷ symbol. So 15:5 15:5 means 15÷5 15÷5 or 155 \frac{15}{5} .

Why can't I just solve from left to right?

+

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Following this order ensures everyone gets the same correct answer!

Do I multiply 4×3 before dividing 15:5?

+

Either order is fine! Since multiplication and division have the same priority in PEMDAS, you can do 15:5 15:5 first or 4×3 4\times3 first - both give the correct result.

How do I remember the order of operations?

+

Try the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS! Practice with simple problems until the order becomes automatic.

What if I got 36 as my answer?

+

You likely calculated (15:5+4)×3 (15:5+4)\times3 instead! Remember: multiplication and division come before addition, so there are no parentheses around 15:5+4 15:5+4 .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners 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

Multiplication and division

Solve the Expression: 12:4-3+3×3 Using Order of Operations
Click to solve
Solve 20:4+3×2: Order of Operations Practice Problem
Click to solve

Addition, Subtraction, Multiplication and Division

Solve Mixed Operations: 9÷3-1.5×2 Using Order of Operations
Click to solve
Solve the Expression: 9-3+4-2 Step by Step
Click to solve