Like fractions

The fractions of equally divided different two or more whole quantities are called like fractions.

One whole quantity can be divided into numerous equal parts. If second whole quantity is also divided into same number of equal parts, the two whole quantities become like due to same division system. Therefore, the fractions of them are known as like fractions. The fraction of first whole quantity is like to the fraction of second whole quantity and vice-versa.

The concept of like fractions is not limited to two whole quantities but started with at least two quantities. Therefore, like fractions are the fractions which are considered from the two or more equally divided whole quantities.

Example

Consider five rectangles and divide each rectangle into five equal parts.

like fractions
  1. Select one part from total number of parts of first rectangle. So, the fraction of the selected portion is 15
  2. Select three parts from total number of parts of second rectangle. So, the fraction of the selected portion is 35
  3. In third rectangle, four parts are selected from total parts of the third rectangle. So, the fraction of selected parts is 45
  4. Assume, fourth and fifth rectangles form an improper fraction as a group. Two parts are selected from fourth rectangle and all parts are selected from fifth rectangle. Therefore, the fraction of this group is summation of fractions of both fourth and fifth rectangles. Therefore, the fraction of this group is 75

According to this example, 15, 35, 45 and 75 are four fractions but all four fractions contain same denominator commonly and it is 5. It is due to the division of all whole rectangles into equal number of divisions.

It is cleared that the fractions are like fractions if two or more fractions have same number in denominator.

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