Simplify Fractions Calculator

Fraction Simplifier Online and how to Simplifying Fractions

Simplify Fraction

  • F

    To simplify a fraction, we need to find the greatest common factor between numerator and denominator and divide both numbers with it.

    Example:
    15
    25
  • 1

    Get the greatest common factor (GCF)

    The greatest common factor in this example is 5

  • 2

    Divide the numerator and the denominator by the greatest common factor.

    15
    25
    =
    15 ÷ 5
    25 ÷ 5
    =
    3
    5

Simplify Improper Fraction

  • F

    When we have the numerator bigger than the denominator in a fraction, that is called an improper fraction.

    Example:
    a
    b
    =
    16
    9
    on simplifying =
    m
    c
    b

    Simplify an improper fraction, simple by converting it to a mixed fraction.

    m (whole number) = a ÷ b
    c (new numeretor) = a - (m x b)
    b (same denominator) = b
    Result =
    m
    c
    b
  • 1

    Divide the numerator with the denominator

    16
    9
    = 16 ÷ 9 = 1.78
  • 2

    Round the result of step one to a whole number
    example: 1.78 = 1
    1 is the part of the mixed number

    1
    c
    b
  • 3

    Subtract the numerator from the whole number multiplied by the denominator to get the new numerator, and keep the denominator the same.

    The new numerator = 16 - (1 x 9) = 7
    Result =
    1
    7
    9

Simplify Mixed Fraction

  • F

    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.

    Example:
    2
    15
    25
    or
    2
    25
    15
  • 1

    In case a common factor still exists, find the greatest common factor and divide numerator and denominator with it.
    For more details click here

    2
    15
    25
    = 2 +
    15 ÷ 5
    25 ÷ 5
    =
    2
    3
    5

    In case the numerator is still bigger than denominator.
    For more details click here

    2
    25
    15
    = 2 + (25 ÷ 15 = 1) +
    25 - (1 x 15)
    15
    =
    3
    10
    15

📌 Negative signs in fractions

Positive Fractions

-1
-2
=
-
1
-2
=
-
-1
2
=
1
2

Negative Fractions

-1
2
=
1
-2
=
-
-1
-2
=
-
1
2