DefinitionFractions are mathematical expressions that describe the parts of a whole or the relationship between two numbers. Fractions are made up of a numerator, denominator, and a division symbol (fraction bar). These are classified as proper (numerator is smaller than denominator), improper (numerator is equal to or is greater than denominator) or mixed (the answer is made up of a whole number and a fraction). So, they are useful in arithmetic, algebra, and real-life as well to express things, do operations, and solve equations. For example, in the fraction 53 the numerator is 3 - the number of parts, and the denominator is 5 - the total number of equal parts.