Improper fraction

An improper fraction, unlike a proper one, is a rational number with a modulus greater than or equal to 1. A distinctive feature of the numerator of an improper fraction is that it is greater in modulus than the denominator or equal to it.

In the practice of arithmetic and statistical calculations, there is sometimes a need to convert a mixed number with a whole and fractional part into an improper fraction. Example: 2 1/3 = 7/3. From this, it is clear that to calculate the numerator of the improper fraction during conversion, you need to multiply the whole part of the mixed fraction by the denominator of the fractional part and add the value of the numerator of the fractional part to the result – (2 x 3) +1 = 7.

The denominators of the fractional part of the mixed fraction and the improper fraction obtained as a result of the conversion are the same. Changes may occur when reducing the fraction.