Adding Mixed Fractions Calculator

Online Adding Mixed Fractions Calculator

How to Add Mixed Fractions With Common Denominators

  • F

    You have to know that mixed numbers are a combination of a whole number and a proper fraction. Even though the plus signs aren't usually showing in mixed numbers (between the whole number and the proper fraction), there are actually added together.

    Example:
    3
    4
    7
    = 3 +
    4
    7
  • 1

    If both fractions have the same denominator, they can be easily added by adding the whole numbers together, the numerators together, and the denominator remaining the same

    Example:
    3
    4
    7
    +
    2
    1
    7
    3
    4
    7
    +
    2
    1
    7
    = 3 + 2 +
    4
    7
    +
    1
    7
    = 5 +
    4 + 1
    7
    =
    5
    5
    7
  • 2

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

Another way to Calculate Mixed Fractions

  • There is another way to add mixed fractions, which can be used in all cases adding, subtracting, multiplying, and dividing

  • 1

    Convert both mixed fractions to improper fractions, then calculated like a proper fraction and finally simplify it.

    To convert a mix fraction to improper fraction (improper fraction has the numerator bigger than denominator), keep the denominator the same, then for the numerator multiply the whole number by the denominator then added to the numerator

    Example how to convert mixed fraction to improper fraction:

    a
    b
    c
    =
    a x c + b
    c
    example:
    3
    2
    3
    +
    4
    3
    4
    3
    2
    3
    +
    4
    3
    4
    =
    3 x 3 + 2
    3
    +
    4 x 4 + 3
    4
    =
    11
    3
    +
    19
    4
    =
    (11 x 4) + (19 x 3)
    3 x 4
    =
    101
    12
    =
    8
    5
    12

    more about improper fraction and how to simplify it click here

How to Add Mixed Fractions With Different Denominators

  • F

    Adding mixed fractions with different denominators, we need to make the fractions have the same denominators and added like the previous example.

    Example:
    4
    3
    4
    +
    3
    2
    3
  • 1

    Add the whole numbers together, and make the proper 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
    For more details click here

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

📌 Negative signs in fractions

Positive Fractions

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

Negative Fractions

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