Fraction Calculator

Simple fractions such as 3/4 or -5/8, mixed numbers such as 1 1/2 or -2 3/4, whole numbers, decimals such as 0.75 and scientific notation such as 2.5e-3. Repeating decimals use parentheses, so 0.(3) means 0.333 and so on, which equals 1/3. Each value can be up to 100 characters.

The calculator rewrites both fractions over their least common denominator and adds the numerators. For 3/4 + 5/6 the steps row shows 9/12 + 10/12 = 19/12, and the result is reduced to lowest terms. Subtraction works the same way.

Multiplication multiplies the numerators and the denominators, as in (3 × 5) / (4 × 6) = 15/24, which reduces to 5/8. Division multiplies by the reciprocal of the second fraction, so 3/4 ÷ 5/6 becomes 3/4 × 6/5. The steps row shows the intermediate fraction before reduction.

Yes, the result is always given in lowest terms, with the greatest common divisor removed from numerator and denominator. Whole results are shown without a denominator, so 6/3 appears as 2. The sign is always placed in front of the numerator.

Whenever the result is an improper fraction that is not a whole number, such as 19/12, the tool also shows it as a mixed number, 1 7/12. Proper fractions and whole numbers do not need a mixed form. Negative results keep the sign in front, as in -1 1/2.

Put the minus sign in front of the whole part, as in -1 1/2, which means negative one and a half, or -3/2. The sign applies to the whole mixed number. Writing 1 -1/2 is not accepted.

Fractions such as 1/3 have decimals that never end, so the decimal row is rounded to the places you choose, 6 by default and up to 15. The fraction result itself is always exact. Use more decimal places when you need a closer decimal value.

Dividing by a fraction equal to zero is undefined, and the tool shows an error instead of a result. A denominator of zero inside a fraction such as 3/0 is also rejected as an invalid fraction. Zero itself is fine as the first value.

Yes, enter the decimal as the first value, choose multiply and enter 1 as the second value. The result row shows the exact fraction, so 0.375 becomes 3/8 and 0.(6) becomes 2/3. Decimals are converted exactly from their digits, not approximated.

Each input is limited to 100 characters, but the arithmetic itself uses arbitrary precision integers. A result such as 123456789012345678901234567890/7 is kept exactly instead of being rounded. Exponents in scientific notation are limited to 300.