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CHAPTER –7 Fractions What havewe discussed? A fraction is a number representing a partof a whole. The whole maybe a single object or agroup of objects. Whenexpressing a situation of counting partsto write a fraction, itmust be ensured that allparts are equal. In5/7, 5 iscalled the numerator and 7 iscalled the denominator. Fractions can beshown on a number line.Every fraction hasa point associated with it onthe number line. In a proper fraction, the numerator is less thanthe denominator. Thefractions, where the numerator is greater than the denominator are called improper fractions. An improper fraction can be written as a combination of a whole and a part, and such fraction thencalled mixed fractions. Each proper or improper fraction has many equivalent fractions. To find an equivalent fraction of a given fraction, we may multiply or divide boththe numerator andthe denominator ofthe given fraction by the samenumber. A fraction issaid to bein the simplest (or lowest) formif its numerator and the denominator haveno common factor except 1.
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When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$ <math...
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