question_answer 26)

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers. (i) \[\frac{3}{7}\]                                              (ii) \[\frac{5}{8}\]                                             (iii) \[\frac{9}{7}\]                                            (iv) \[\frac{6}{5}\] (v) \[\frac{12}{7}\]                                           (v) \[\frac{1}{8}\]                                             (vii) \[\frac{1}{11}\]

Answer:

                (i) Reciprocal of the fraction \[\frac{3}{7}=\frac{7}{3}\](an improper fraction)                 (ii) Reciprocal of the fraction \[\frac{5}{8}=\frac{8}{5}\] (an improper fraction).  (iii) Reciprocal of the fraction \[\frac{9}{7}=\frac{7}{9}\] (an proper fraction).  (iv) Reciprocal of the fraction \[\frac{6}{5}=\frac{5}{6}\] (a proper fraction)  (v) Reciprocal of the fraction \[\frac{12}{7}=\frac{7}{12}\] (a proper fraction)  (vi) Reciprocal of the fraction \[\frac{1}{8}=\frac{8}{1}=8\] (a whole number) (vii) Reciprocal of the fraction \[\frac{1}{11}=11\] (a whole number).