Basic Operations on Fractions

Length: 0 minutesComplexity: Standard

<h1><strong>BASIC OPERATIONS ON FRACTIONS</strong></h1> CONTENT <ol> <li>Addition and Subtraction of Fractions</li> <li>Multiplication and Division of Fractions</li> </ol>   <h2><strong>Addition of Fractions</strong></h2> <strong>Examples:</strong> 1. Add the fractions \(\frac{2}{3}\) and \(\frac{4}{5}\). <strong>Solution:</strong> \(\frac{2}{3} + \frac{4}{5} = \frac{5 × 2 + 3 × 4}{15} \\ = \frac{10 + 12}{15} = \frac{22}{15} = 1\frac{7}{15}\). 2. Add the fractions \(4\frac{3}{11}\), \(7\frac{1}{3}\). <strong>Solution:</strong> \(4\frac{3}{11} + 7\frac{1}{3} = \frac{47}{11} + \frac{22}{3} \\ = \frac{47(3) + 11(22)}{33} \\ = \frac{141 + 242}{33} = \frac{383}{33}\) = \(11\frac{20}{33}\) (in mixed fraction). (<strong>Note</strong>: In this method, we first change the mixed fractions to Improper fractions before adding).

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