question_answer 1)

Give four rational numbers equivalent to: (i) \[\frac{-2}{7}\]                             (ii) \[\frac{5}{-3}\]                            (iii) \[\frac{4}{9}\]

Answer:

                (i) Four rational numbers equivalent to  \[\frac{-2}{7}\]are                 \[\frac{-2\times 2}{7\times 2}=\frac{-4}{14},\frac{-2\times 3}{7\times 3}=\frac{-6}{21},\frac{-2\times 4}{7\times 4}=\frac{-8}{28}\] and \[\frac{-2\times 5}{7\times 5}=\frac{-10}{35}\]                 (ii) Four rational numbers equivalent to \[\frac{5}{-3}\]are                 \[\frac{5\times 2}{-3\times 2}=\frac{10}{-6},\frac{5\times 3}{-3\times 3}=\frac{15}{-9},\frac{5\times 4}{-3\times 4}=\frac{20}{-12}\]and \[\frac{5\times 5}{-3\times 5}=\frac{25}{-15}\] (iii) Four rational numbers equivalent to \[\frac{4}{9}\]are \[\frac{4\times 2}{9\times 2}=\frac{8}{18},\frac{4\times 3}{9\times 3}=\frac{12}{27},\frac{4\times 4}{9\times 4}=\frac{16}{36}\] and \[\frac{4\times 5}{9\times 5}=\frac{20}{45}\].