question_answer 1)

Rewrite the following rational numbers in the simplest form: (i) \[\frac{-8}{6}\]                                             (ii) \[\frac{25}{45}\]                                         (iii) \[\frac{-44}{72}\]                      (iv) \[\frac{-8}{10}\].

Answer:

                (i) The HCF of 8 and 6 is 2.                 Thus, its simplest form would be \[\frac{-8\div 2}{6\div 2}=\frac{-4}{3}\]                 (ii) The HCF of 25 and 45 is 5.                 Thus, its simplest form would be \[\frac{25\div 5}{45\div 5}=\frac{5}{9}\]                 (iii) The HCF of 44 and 72 is 4. Thus, its simplest form would be \[\frac{-44\div 4}{72\div 4}=\frac{-11}{18}\] (iv) The HCF of ? 8 and 10 is ? 2. Thus, its simplest from would be \[\frac{-8\div 2}{10\div 2}=\frac{-4}{5}.\]