![]() One can study the decomposition of fractions only with a proper understanding of fractions. The result, after we split a mixed fraction, is a whole number and a proper fraction. The numerator and denominator in the mixed fraction are a part of the proper fraction, thereby forming the mixed number. The mixed fraction represents a number that is between any two of the whole numbers. Here, we can again simplify the fraction as 2⁄6 = 1⁄3 and 3⁄6 = 1⁄2Ī mixed fraction is a combination of a whole number and a proper fraction, which is represented together. We can also decompose a fraction by using the sum of smaller fractions. This method of decomposition of large fractions into smaller ones can be applied where we cannot decompose the larger fraction into unit fractions, as observed in the previous section. We can decompose a large fraction into smaller fractions. ![]() There is yet another way to decompose larger fractions. Sum of Smaller Fractions That Are Not Unit Fractions Consider the fraction ⅚ this means there are 5 parts among 6 parts in total. Like ⅝ is the same as ⅛, ⅛, ⅛, ⅛, ⅛, which is fives times ⅛. The easiest way to break larger fractions is by decomposing them into many unit fractions. Larger Fractions into Many Unit Fractions This means that a unit fraction is a part of a whole unit or a part of 1. Unit fractions are those fractions in which the numerator is 1. ![]() We can decompose fractions by breaking them into unit fractions. It is to be noted that the decomposed fractions or the smaller fractions add up to form the initial fraction. When we decompose a fraction, we divide it into smaller fractions. In real terms, the meaning of decompose means ‘splitting up’ or ‘dividing the fractions into smaller parts or chunks. ![]()
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