To simplify a fraction, we need to find the greatest common factor between numerator and denominator and divide both numbers with it.
15 |
25 |
Get the greatest common factor (GCF)
The greatest common factor in this example is 5
Divide the numerator and the denominator by the greatest common factor.
15 |
25 |
15 ÷ 5 |
25 ÷ 5 |
3 |
5 |
When we have the numerator bigger than the denominator in a fraction, that is called an improper fraction.
a |
b |
16 |
9 |
c |
b |
Simplify an improper fraction, simple by converting it to a mixed fraction.
c |
b |
Divide the numerator with the denominator
16 |
9 |
Round the result of step one to a whole number
example: 1.78 = 1
1 is the part of the mixed number
c |
b |
Subtract the numerator from the whole number multiplied by the denominator to get the new numerator, and keep the denominator the same.
7 |
9 |
There are two possibilities if still need to simplify a mixed fraction. possibility one is the mixed fraction still has a numerator bigger than the denominator. And possibility two if the numerator and the denominator still have a common factor.
15 |
25 |
25 |
15 |
Positive Fractions
-1 |
-2 |
1 |
-2 |
-1 |
2 |
1 |
2 |
Negative Fractions
-1 |
2 |
1 |
-2 |
-1 |
-2 |
1 |
2 |