Solve the Division Problem: Finding the Value of 99/11

Q: How do I find what number divides both 99 and 11?

Look for the greatest common divisor (GCD)! Since 11 is a factor of 99 (because 11 × 9 = 99), the GCD is 11 itself. This makes the division straightforward.

Q: Why can't the answer be a fraction like 1/9?

When you divide 99 by 11, you get a whole number because 11 goes into 99 exactly 9 times with no remainder. The answer $ \frac{1}{9} $ would mean 99 ÷ 11 = 0.111..., which is incorrect.

Q: How do I check if my division is correct?

Use multiplication to verify: 9 × 11 should equal 99. Since 9 × 11 = 99 ✓, our answer is correct!

Q: Is there a faster way to see that 99 ÷ 11 = 9?

Yes! Notice that 99 = 9 × 11, so $ \frac{99}{11} = \frac{9 \times 11}{11} = 9 $. Recognizing multiplication patterns makes division easier.

Fraction Simplification with Common Factors

Solve the following expression:

$\frac{99}{11}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$\frac{99}{11}=$

Step-by-step solution

First, we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 11.

We will divide the fraction as follows:

$\frac{99:11}{11:11}=\frac{9}{1}=9$

Final Answer

$9$

Key Points to Remember

Essential concepts to master this topic

Rule: Find the greatest common divisor of numerator and denominator
Technique: Divide both 99 and 11 by their GCD of 11
Check: Verify that 9 × 11 = 99, confirming our answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to simplify the fraction completely
Don't leave $\frac{99}{11}$ unsimplified = missing the final answer! This makes your work incomplete and harder to understand. Always divide both numerator and denominator by their greatest common factor to get the simplest form.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

How do I find what number divides both 99 and 11?

Look for the greatest common divisor (GCD)! Since 11 is a factor of 99 (because 11 × 9 = 99), the GCD is 11 itself. This makes the division straightforward.

What if the numbers don't divide evenly?

If there's no common factor other than 1, the fraction is already in simplest form. But always check by trying small prime numbers like 2, 3, 5, 7, 11 as potential common factors.

Why can't the answer be a fraction like 1/9?

When you divide 99 by 11, you get a whole number because 11 goes into 99 exactly 9 times with no remainder. The answer $\frac{1}{9}$ would mean 99 ÷ 11 = 0.111..., which is incorrect.

How do I check if my division is correct?

Use multiplication to verify: 9 × 11 should equal 99. Since 9 × 11 = 99 ✓, our answer is correct!

Is there a faster way to see that 99 ÷ 11 = 9?

Yes! Notice that 99 = 9 × 11, so $\frac{99}{11} = \frac{9 \times 11}{11} = 9$ . Recognizing multiplication patterns makes division easier.

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