Simplify the Fraction 60/36 Using a Factor of 6

Q: Why do I divide both parts by the same number?

Dividing both numerator and denominator by the same factor keeps the fraction's value unchanged. It's like cutting a pizza into smaller pieces - you still have the same amount!

Q: What if the factor doesn't divide evenly?

The factor must divide both the numerator and denominator evenly (no remainders). If 6 doesn't divide both 60 and 36 evenly, you can't use it as a simplifying factor.

Q: How do I know if my simplified fraction is correct?

Multiply back: $ \frac{10}{6} $ should give you 10×6=60 for numerator and 6×6=36 for denominator. If you get the original fraction, you're right!

Q: Can I simplify further after getting 10/6?

Yes! $ \frac{10}{6} $ can be simplified further by dividing both by 2 to get $ \frac{5}{3} $. Always check if you can simplify more.

Q: What does 'by a factor of 6' mean exactly?

It means you must use 6 as your divisor. Divide both 60 and 36 by 6. Don't look for other common factors - the question specifically tells you to use 6.

Fraction Simplification with Given Factors

Simplify the following fraction by a factor of 6:

$\frac{60}{36}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Reduce the fraction by 6

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 6:

$\frac{60}{36}=$

Step-by-step solution

Let's simplify as follows, we'll divide both the numerator and denominator by 6:

$\frac{60:6}{36:6}=\frac{10}{6}$

Final Answer

$\frac{10}{6}$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide both numerator and denominator by same factor
Technique: $\frac{60}{36} = \frac{60÷6}{36÷6} = \frac{10}{6}$
Check: Verify 10×6=60 and 6×6=36 to confirm simplification ✓

Common Mistakes

Avoid these frequent errors

Dividing only the numerator or denominator
Don't divide just 60 by 6 to get 10/36 = wrong fraction! This creates an unequal ratio and changes the fraction's value. Always divide both the numerator AND denominator by the same factor.

Practice Quiz

Test your knowledge with interactive questions

Simplify the following fraction by a factor of 4:

$\frac{4}{8}=$

FAQ

Everything you need to know about this question

Why do I divide both parts by the same number?

Dividing both numerator and denominator by the same factor keeps the fraction's value unchanged. It's like cutting a pizza into smaller pieces - you still have the same amount!

What if the factor doesn't divide evenly?

The factor must divide both the numerator and denominator evenly (no remainders). If 6 doesn't divide both 60 and 36 evenly, you can't use it as a simplifying factor.

How do I know if my simplified fraction is correct?

Multiply back: $\frac{10}{6}$ should give you 10×6=60 for numerator and 6×6=36 for denominator. If you get the original fraction, you're right!

Can I simplify further after getting 10/6?

Yes! $\frac{10}{6}$ can be simplified further by dividing both by 2 to get $\frac{5}{3}$ . Always check if you can simplify more.

What does 'by a factor of 6' mean exactly?

It means you must use 6 as your divisor. Divide both 60 and 36 by 6. Don't look for other common factors - the question specifically tells you to use 6.

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