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Steps to simplify a fraction

Start with a fraction:


What can both 12 and 18 be divided by?
What is a factor of both 12 and 18?

1, 2, 3, and 6 are all factors. They all can divide evenly into 12 and 18.

You can start with any of the factors,
but if you divide by the greatest common factor-gcf
(the largest number that goes into both numbers),
then simplifying can be done in one step.
12 divided by 6 = 2
18 divided by 6 = 3

Therefore: 12/18 ÷ 6/6 = 2/3

Simplest form: 2/3

Let's try these for extra practice:

25/35 Click here to see answer.

12/20 Click here to see answer.

20/30 Click here to see answer.

12/25 Click here to see answer.

Vocabularyclick the vocabulary term

Equivalent Fractions



Common Denominator

Uncommon Denominator


Greatest Common Factor

Least Common Multiple


Improper Fraction

Proper Fraction

Mixed Number

The Big One

Simplifying Fractions Game
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