Addition
1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Calculate with fractions using exact integer arithmetic. Add, subtract, multiply, divide, simplify, and convert between fractions, mixed numbers, and decimals while following each step.
A fraction represents a part of a whole. Its numerator tells how many parts are present, while its denominator tells how many equal parts make the whole. A denominator cannot be zero.
Equivalent fractions represent the same value. Reducing both parts by their greatest common divisor produces the simplest form.
Create a common denominator, combine the numerators, then simplify.
a/b ± c/d = (ad ± bc) / bdMultiply the numerators and denominators, then simplify.
a/b × c/d = ac / bdMultiply by the reciprocal of the second nonzero fraction.
a/b ÷ c/d = ad / bcDivide numerator and denominator by their greatest common divisor.
(a ÷ gcd) / (b ÷ gcd)1/2 + 1/3 = 3/6 + 2/6 = 5/6.
3/4 − 1/2 = 3/4 − 2/4 = 1/4.
2/3 × 3/4 = 6/12 = 1/2.
1/2 ÷ 3/4 = 1/2 × 4/3 = 2/3.
42/56 reduces by 14 to 3/4.
0.75 = 75/100 = 3/4.
Use fractions throughout a calculation and convert to a decimal only for presentation.
Zero is never a valid denominator, and dividing by a zero-valued fraction is undefined.
An improper fraction has a numerator at least as large as its denominator. A mixed number combines a whole number with a proper fraction. In this calculator, a negative sign applies to the entire mixed number: −2 1/3 equals −7/3.
A fraction converts to a decimal by dividing its numerator by its denominator. Some decimals terminate, while others repeat. Decimal inputs are converted exactly from the digits entered rather than through floating-point approximation.
Use a common denominator, rewrite both fractions as equivalents, add the numerators, and simplify.
Divide the numerator and denominator by their greatest common divisor.
Yes as input, but normalized fractions move the sign to the numerator so the denominator is positive.
The fraction has not terminated within the selected precision, so more decimal digits follow.
The entered digits become an integer over a power of ten and are then reduced exactly.
The negative sign applies to the whole value, so −2 1/3 converts to −7/3.