CALCSLIP

Fraction calculator

Exact answers with fractions and mixed numbers, simplified, with the working shown.

Like 3/4, 1 1/2, 5 or 0.25

Like 3/4, 1 1/2, 5 or 0.25

Operation

Result

1 3/4 + 2/3
29/12
Mixed number
2 5/12
Decimal
2.41(6)
Percent
241.(6)%

How this was calculated

  1. Write as improper fractions

    Whole × denominator + numerator

    1 3/4 = 7/4; 2/3 = 2/3

  2. Common denominator

    Least common multiple of the denominators

    lcm(4, 3) = 12: 21/12 + 8/12

  3. Add the numerators

    Keep the denominator

    (21 + 8)/12 = 29/12

  4. Simplify

    Divide by the greatest common divisor

    = 29/12

How fractions are added and multiplied

To add or subtract, rewrite both fractions over a common denominator (the least common multiple of the two), combine the numerators, then simplify. 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.

To multiply, multiply the numerators and the denominators. To divide, multiply by the reciprocal of the second fraction. Mixed numbers like 1 3/4 are first turned into improper fractions (7/4).

All arithmetic here is exact: there is no rounding until the decimal line, which marks repeating digits in brackets, so 1/3 shows as 0.(3).

Questions people ask

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common divisor. 6/8 has a GCD of 2, so it simplifies to 3/4. Type 6/8 + 0 to see it.

How do I enter a negative mixed number?

Put the minus sign first: -2 1/3 means negative two and one third.