How to use the mixed and improper fraction converter
A mixed number such as 2 1/3 writes a whole part next to a proper fraction, while an improper fraction such as 7/3 has a numerator at least as large as the denominator. Pick a direction and this converter rewrites the value, showing both forms at once. Going from mixed to improper multiplies the whole part by the denominator and adds the numerator; the other direction divides the numerator by the denominator, using the quotient as the whole part and the remainder as the new numerator.
The rule for negatives matters here. -2 1/3 does not mean -2 plus 1/3; it means -(2 + 1/3) = -7/3. So the minus sign belongs on the whole part and the numerator stays positive. Making the numerator negative while the whole part is nonzero produces a message instead of a wrong answer. In mixed-number mode the denominator must be greater than 0; in improper-fraction mode a negative denominator is normalized by moving the sign to the numerator.
The results give the improper fraction and its reduced form, the mixed number and its reduced form, the decimal value, and whether the value is a whole number, a proper fraction or an improper fraction. Entering 10/4 shows the reduced improper fraction 5/2 next to the reduced mixed number 2 1/2. A zero denominator is undefined and is blocked, inputs must be whole numbers, and values up to 100000 in absolute value are supported. Converting a decimal into a fraction is not supported on this page.
Frequently Asked Questions
Multiply the whole part by the denominator and add the numerator: 2 1/3 becomes 2x3+1 = 7, so 7/3. This tool also shows the reverse conversion at the same time.
Since -2 1/3 means -(2 + 1/3) = -7/3, put -2 in the whole part and leave the numerator as 1. Making the numerator negative while the whole part is nonzero produces a message.
Then it is already a proper fraction and the whole part is 0. Only the fraction appears in the mixed-number row, along with a note saying it is proper.