Solve the Division Problem: 880 ÷ 11

Q: How do I know if 880 and 11 have a common factor?

Check if the larger number is divisible by the smaller number! Since 880 ÷ 11 gives us a whole number with no remainder, 11 is a factor of 880.

Q: What if I can't tell if they're divisible right away?

Try the division! If you get a whole number answer with no remainder, then they share that common factor. You can also use divisibility rules to check quickly.

Q: How do I check my answer is correct?

Multiply your answer by the divisor: $ 80 \times 11 = 880 $. If you get the original dividend, your answer is right!

Q: What does it mean when a fraction equals a whole number?

It means the numerator is perfectly divisible by the denominator! When $ \frac{880}{11} = 80 $, there's no remainder, so we get a clean whole number.

Fraction Division with Simplification

Solve the following expression:

$\frac{880}{11}=$

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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:

$\frac{880}{11}=$

Step-by-step solution

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:

$\frac{880:11}{11:11}=\frac{80}{1}=80$

Final Answer

$80$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator and denominator by their greatest common divisor
Technique: Find GCD first: both 880 and 11 are divisible by 11
Check: Verify by multiplication: 80 × 11 = 880 ✓

Common Mistakes

Avoid these frequent errors

Trying to divide 880 by 11 using long division without simplifying first
Don't perform complex long division when both numbers share a common factor = unnecessary work and more chances for errors! This makes the problem harder than it needs to be. Always look for the greatest common divisor first to simplify the fraction.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the diagram as a number:

FAQ

Everything you need to know about this question

How do I know if 880 and 11 have a common factor?

Check if the larger number is divisible by the smaller number! Since 880 ÷ 11 gives us a whole number with no remainder, 11 is a factor of 880.

What if I can't tell if they're divisible right away?

Try the division! If you get a whole number answer with no remainder, then they share that common factor. You can also use divisibility rules to check quickly.

Could I have solved this using long division instead?

Yes, but it's much more work! Long division of 880 ÷ 11 would give the same answer, but recognizing the common factor makes it faster and less error-prone.

How do I check my answer is correct?

Multiply your answer by the divisor: $80 \times 11 = 880$ . If you get the original dividend, your answer is right!

What does it mean when a fraction equals a whole number?

It means the numerator is perfectly divisible by the denominator! When $\frac{880}{11} = 80$ , there's no remainder, so we get a clean whole number.

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