Improper Fractions to Mixed Numbers Conversion

Converting improper fractions to mixed numbers

Here, you can convert an improper fraction into mixed numbers. Enter the fraction numerator and denominator in the spaces above and press "To Mixed Numbers". You may enter values between -2147483648 and 2147483647.

What is an improper fraction

A fraction is improper when its numerator is greater than its denominator. When a fraction is 'improper' it can be expressed as a whole number plus a proper fraction. A proper fraction is a fraction that has a numerator smaller than its denominator, a fraction that has a value less than 1.

The mixed numbers form shows the whole portion followed by the proper fraction.

For example, 1.25 can be expressed as 5/4, or 1 and 1/4. 5/4 is an improper fraction, 1 1/4 is its mixed numbers representation.

How to convert a fraction to mixed numbers

The fraction is first reduced to its lowest terms (see simplify fractions for more information).

If the fraction's numerator is greater than the denominator (an improper fraction), then the whole portion is obtained by dividing the numerator by the denominator. The numerator of the proper fraction is the remainder of the division. The denominator is the same as the denominator of the original fraction.