Adding Mixed Fractions

Online Adding Mixed Fractions Calculator

How to Add Mixed Fractions With Common Denominators

  • Mixed numbers are a combination of a whole number plus a proper fraction.

    Example:
    3
    4
    9
    = 3 +
    4
    9
  • 1

    In order to add mixed fractions that have an identical denominator, we add the whole numbers together, then the numerators together, and keep the denominator the same.

    Example:
    3
    4
    9
    +
    2
    3
    9
    3
    4
    9
    +
    2
    3
    9
    = 3 + 2 +
    4
    9
    +
    3
    9
    = 5 +
    4 + 3
    9
    =
    5
    7
    9
  • 2

    Simplify the fraction if possible, in this example, the result already simplified.
    more about Simplifying click here

Another way to Calculate Mixed Fractions

  • This method can be used in all cases of addition, subtraction, multiplication, and division

  • 1

    Convert fractions to improper fractions and make regular calculation

    Mixed number to an improper fraction (improper fraction has the numerator bigger than the denominator), get the numerator of the improper fraction by multiplying the whole number by the denominator and added to the numerator, and for the denominator remains the same.

    Example how to convert mixed fraction to improper fraction:

    a
    b
    c
    =
    a x c + b
    c
    example:
    3
    1
    3
    +
    4
    3
    5
    3
    1
    3
    +
    4
    3
    5
    =
    3 x 3 + 1
    3
    +
    4 x 5 + 3
    5
    =
    10
    3
    +
    23
    5
    =
    (10 x 5) + (23 x 3)
    3 x 5
    =
    119
    15
    =
    7
    14
    15

    more about improper fraction and simplifying click here

How to Add Mixed Fractions With Different Denominators

  • F

    In order to add mixed fractions with different denominators, we should make both denominators identical before adding (how to make denominator identical), then we added like the example of adding mixed fractions with common denominators

    Example:
    4
    3
    4
    +
    3
    2
    3
  • 1

    Add the whole numbers together, and make fractions have the same denominator. more about adding proper fractions click here

    4
    3
    4
    +
    3
    2
    3
    4
    3
    4
    +
    3
    2
    3
    = 4 + 3 +
    3
    4
    +
    2
    3
    = 7 +
    3 x 3
    4 x 3
    +
    2 x 4
    3 x 4
    =
    7
    17
    12
  • 2

    Simplify the fraction if possible
    more about simplifying click here

    7
    17
    12
    =
    =
    7 +
    1
    5
    12
    =
    8
    5
    12

Example