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Mixed Number Calculator

Add, subtract, multiply or divide mixed numbers such as 1 1/2 and 2 2/3. Enter the whole number, numerator and denominator of each, choose the operation, and get the answer as a mixed number, an improper fraction and a decimal.

Quick examples

For a negative mixed number, make the whole number negative.

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Answer (mixed number)4 1/6
As an improper fraction
25/6
As a decimal
4.166667

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      Formula

      Convert to an improper fraction: w n/d = (w × d + n) / d
      Carry out the operation on the two improper fractions
      Convert back: divide the numerator by the denominator — the quotient is the whole number and the remainder is the new numerator

      How to use it

      1. Enter the whole number, numerator and denominator of the first mixed number.
      2. Choose the operation.
      3. Enter the second mixed number. Use 0 as the whole number for a plain fraction.
      4. Read the answer in all three forms.

      Worked examples

      1 1/2 + 2 2/3

      Answer (mixed number)
      4 1/6
      As an improper fraction
      25/6
      As a decimal
      4.166667

      3 1/4 − 1 5/8

      Answer (mixed number)
      1 5/8
      As an improper fraction
      13/8
      As a decimal
      1.625

      2 1/2 × 1 1/3

      Answer (mixed number)
      3 1/3
      As an improper fraction
      10/3

      A worked example

      1 1/2 + 2 2/3: convert to 3/2 and 8/3. Over a common denominator of 6 that is 9/6 + 16/6 = 25/6. Then 25 ÷ 6 = 4 remainder 1, so the answer is 4 1/6.

      Mistakes to avoid

      When multiplying, do not multiply the whole numbers and the fractions separately. 2 1/2 × 1 1/3 is 5/2 × 4/3 = 20/6 = 3 1/3, not 2 1/6.

      A negative mixed number is negative all the way through: −1 1/2 means −(1 + 1/2) = −3/2, not −1 + 1/2. Enter the whole number as −1 and leave the fraction positive.

      Questions people ask

      What is 1 1/2 + 2 2/3?

      4 1/6, which is 25/6 as an improper fraction or about 4.1667.

      What is 3 1/4 − 1 5/8?

      1 5/8. As improper fractions it is 26/8 − 13/8 = 13/8.

      How do I turn an improper fraction into a mixed number?

      Divide the top by the bottom. For 25/6, 25 ÷ 6 = 4 remainder 1, so it is 4 1/6.

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