Solve Time Notation and Mixed Numbers: 11:2 + 4½

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

The colon (:) is another way to write division, just like ÷. So 11:2 means 11 divided by 2, which equals $ \frac{11}{2} $ or $ 5\frac{1}{2} $.

Q: Why can't I just add 11 + 2 + 4½?

Because that completely ignores the division operation! The expression 11:2 means you must divide 11 by 2 first, not add them together.

Q: Do I need to convert mixed numbers to improper fractions?

Not necessarily! You can add $ 5\frac{1}{2} + 4\frac{1}{2} $ directly by adding whole numbers (5+4=9) and fractions ($ \frac{1}{2} + \frac{1}{2} = 1 $) to get 10.

Q: What if I get confused about order of operations?

Remember PEMDAS! Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Division comes before addition.

Q: How do I check if 10 is the right answer?

Substitute back: $ 11 ÷ 2 = 5\frac{1}{2} $, then $ 5\frac{1}{2} + 4\frac{1}{2} = 9 + 1 = 10 $ ✓

Division Notation with Mixed Numbers

$11:2+4\frac{1}{2}=$ ?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 First, let's solve the expression together.

00:09 Start by writing the division as a fraction.

00:15 Remember! Solve multiplication and division, before moving to addition and subtraction.

00:21 Now, let's break down 11 into ten, plus one.

00:26 Convert the result into a mixed fraction.

00:34 Go ahead and calculate the whole fraction.

00:46 Keep going! Add half to the fraction.

00:50 Great job! Here is the solution. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$11:2+4\frac{1}{2}=$ ?

Step-by-step solution

According to the order of operations, first place the division operation inside parenthesis:

$(11:2)+4\frac{1}{2}=$

Then solve the operations inside the parenthesis:

$11:2=\frac{11}{2}=5\frac{1}{2}$

Now we get the expression:

$5\frac{1}{2}+4\frac{1}{2}=10$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Order of Operations: Division comes before addition, solve 11÷2 first
Convert Division: Change 11:2 to $\frac{11}{2} = 5\frac{1}{2}$
Check Answer: Verify $5\frac{1}{2} + 4\frac{1}{2} = 10$ ✓

Common Mistakes

Avoid these frequent errors

Adding first instead of following order of operations
Don't add 2 + 4½ = 6½ then divide 11 by 6½ = wrong answer! This ignores PEMDAS and gives incorrect results. Always solve division operations before addition.

Practice Quiz

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$$ 100+5-100+5 $$

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 ÷. So 11:2 means 11 divided by 2, which equals $\frac{11}{2}$ or $5\frac{1}{2}$ .

Why can't I just add 11 + 2 + 4½?

Because that completely ignores the division operation! The expression 11:2 means you must divide 11 by 2 first, not add them together.

Do I need to convert mixed numbers to improper fractions?

Not necessarily! You can add $5\frac{1}{2} + 4\frac{1}{2}$ directly by adding whole numbers (5+4=9) and fractions ( $\frac{1}{2} + \frac{1}{2} = 1$ ) to get 10.

What if I get confused about order of operations?

Remember PEMDAS! Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Division comes before addition.

How do I check if 10 is the right answer?

Substitute back: $11 ÷ 2 = 5\frac{1}{2}$ , then $5\frac{1}{2} + 4\frac{1}{2} = 9 + 1 = 10$ ✓

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Solve Time Notation and Mixed Numbers: 11:2 + 4½

Division Notation with Mixed Numbers

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

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

Why can't I just add 11 + 2 + 4½?

Do I need to convert mixed numbers to improper fractions?

What if I get confused about order of operations?

How do I check if 10 is the right answer?

🌟 Unlock Your Math Potential

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