# Simplify fractions

With the simplify fractions calculator below you can practice simplifying fractions (also callled reducing fractions) or check whether you have the simplest form of the fraction and see if you have the numerator and denominator as small as possible. Fill in the numerator above the scoreline and the denominator below the scoreline and click "Simplify fraction" to make the calculation. The simplify fractions calculator shows the fraction in its simplest form and shows the Greatest Common Factor (GCF).

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Each fraction can be reduced to it’s simplest form, in which the numerator and denominator are as small as possible. To simplify a fraction you have to first find the greatest common factor of the numerator and denominator. You then have to divide the numerator and denominator by the biggest possible integer: the Greatest Common Factor (GCF).

For example, we have the following fraction:

1218

The numerator (12) and the denominator (18) are both divisible by 6 (so the largest number that goes exactly into both 12 and 18 is 6 and therefore the greatest common factor is 6). Therefore if you divide the numerator and denominator by 6, you can write the fraction as:

126 / 186 = 23

You can also simplify a fraction in steps. So 1218 can also be written as 69 (the numerator and denominator can both be divided by 2). However, both 6 and 9 can also be divided by 3, so you can write 69 as 23. 23 is the simplest form.

1218 = 69 = 23