CHAPTER 7 FRACTIONS Fraction means a part of something. For e.g. 7/15 means 7 parts out of 15 equal parts. Here, 7 is the numerator and 15 is the denominator. PROPER FRACTION When the numerator is less than the denominator, the fraction is called a proper fraction. E.g. 1/3, 9/12. IMPROPER FRACTION When the numerator is less than the denominator, the fraction is called improper fraction. E.g. 7/4, 12/9 MIXED FRACTION A combination of a whole and a part is called mixed fraction. E.g. 3½ Converting mixed fraction to improper fractions: 3½ = ((3x2) +1)/2= 7/2 EQUIVALENT FRACTION If the fractions, when simplified, represent same number of parts of the whole, the fractions are called equivalent fractions. E.g. 1/2, 3/6, 4/8 SIMPLEST FORM OF A FRACTION If the numerator and denominator have no common factor except 1, the fraction is said to be in its simplest form. LIKE FRACTIONS When two fractions have the same denominator, they are called like fractions. For e.g. 7/8, 6/8 UNLIKE FRACTIONS When two fractions have different denominators, they are called unlike fractions. For e.g. 7/9, 8/10 COMPARING LIKE FRACTIONS The fraction with greater numerator is the greater fraction. COMPARING UNLIKE FACTIONS
ADDITION AND SUBTRACTION OF FRACTIONS
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