What is a Fraction? Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator . It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection.
Fraction of a Whole When the whole is divided into equal parts, the number of parts we take makes up a fraction. If a cake is divided into eight equal pieces and one piece of the cake is placed on a plate, then each plate is said to have 18 of the cake. It is read as ‘one-eighth’ or ‘1 by 8’
Fraction of a Collection of Objects There are a total of 5 children. 3 out of 5 are girls. So, the fraction of girls is three-fifths ( 3/5 ). 2 out of 5 are boys. So, the fraction of boys is two-fifths ( 2/5 ).
Representing a Fraction A fraction can be represented in 3 ways: as a fraction, as a percentage, or as a decimal. Let us see each of the three forms of representation.
Fractional Representation, The first and most common form of representing a fraction is ab. Here, a is the numerator, and b is the denominator. Both the numerator and denominator are separated by a horizontal bar. Example: We can understand the fraction 3/4 as follows. Numerator: 3 Denominator: 4 The fraction represents three parts when a whole is divided into four equal parts.
Mixed Fractions to Improper Fractions Mixed fractions can be converted to improper fractions by multiplying the whole number by the denominator and adding it to the numerator. It becomes the new numerator , and the denominator remains unchanged.