Simplify the Fraction 100/10 Using a Factor of 10

Q: Why do I divide both parts by 10?

When simplifying fractions, you must divide both the numerator and denominator by the same number to keep the fraction's value unchanged. Think of it like cutting a pizza - if you cut both the pieces you have AND the total pieces by the same amount, you still have the same portion!

Q: What does 'factor of 10' mean exactly?

A factor of 10 means a number that divides evenly into 10. Since 10÷10=1, we use 10 as our common factor. Both 100 and 10 can be divided by 10: $ 100÷10=10 $ and $ 10÷10=1 $.

Q: Is 10/1 the same as just writing 10?

Yes! Any number divided by 1 equals itself, so $ \frac{10}{1} = 10 $. You can write the answer either way, but 10 is the simplified form.

Q: How do I know I simplified correctly?

Check that both fractions have the same decimal value: $ \frac{100}{10} = 10 $ and $ \frac{10}{1} = 10 $. Since both equal 10, your simplification is correct!

Fraction Simplification with Common Factors

Simplify the following fraction by a factor of 10:

$\frac{100}{10}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Reduce the fraction by 10

00:03 Divide the fraction by the given factor

00:06 Make sure to divide both numerator and denominator

00:10 Calculate the quotients

00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Simplify the following fraction by a factor of 10:

$\frac{100}{10}=$

Step-by-step solution

Let's simplify as follows, we'll divide both the numerator and denominator by 10:

$\frac{100:10}{10:10}=\frac{10}{1}$

Final Answer

$\frac{10}{1}$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide both numerator and denominator by the same factor
Technique: Factor of 10 means 100÷10=10 and 10÷10=1
Check: Verify $\frac{10}{1} = 10$ equals original $\frac{100}{10} = 10$ ✓

Common Mistakes

Avoid these frequent errors

Dividing only the numerator or only the denominator
Don't divide just 100 by 10 to get $\frac{10}{10}$ or just 10 by 10 to get $\frac{100}{1}$ ! This changes the value of the fraction completely. Always divide both the numerator AND denominator by the same factor.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

Why do I divide both parts by 10?

When simplifying fractions, you must divide both the numerator and denominator by the same number to keep the fraction's value unchanged. Think of it like cutting a pizza - if you cut both the pieces you have AND the total pieces by the same amount, you still have the same portion!

What does 'factor of 10' mean exactly?

A factor of 10 means a number that divides evenly into 10. Since 10÷10=1, we use 10 as our common factor. Both 100 and 10 can be divided by 10: $100÷10=10$ and $10÷10=1$ .

Is 10/1 the same as just writing 10?

Yes! Any number divided by 1 equals itself, so $\frac{10}{1} = 10$ . You can write the answer either way, but 10 is the simplified form.

How do I know I simplified correctly?

Check that both fractions have the same decimal value: $\frac{100}{10} = 10$ and $\frac{10}{1} = 10$ . Since both equal 10, your simplification is correct!

What if the numbers don't divide evenly?

Great question! You can only simplify when both the numerator and denominator share a common factor. If they don't divide evenly by the same number, the fraction is already in its simplest form.

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