Question

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) \(\frac{12}{7}\)
(vi) \(\frac{1}{8}\)
(vii) \(\frac{1}{11}\)

Answer 1

(i) \(\frac{3}{7}\) = Reciprocal = \(\frac{3}{7}\)
Therefore, it is an improper fraction.

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(ii) \(\frac{5}{8}\) = Reciprocal = \(\frac{8}{5}\)
Therefore, it is an improper fraction.

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(iii) \(\frac{9}{7}\) = Reciprocal = \(\frac{7}{9}\)
Therefore, it is a proper fraction.

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(iv) \(\frac{6}{5}\)= Reciprocal = \(\frac{5}{6}\)
Therefore, it is a proper fraction.

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(v) \(\frac{12}{7}\) = Reciprocal = \(\frac{7}{12}\)
Therefore, it is a proper fraction.

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(vi) \(\frac{1}{8}\) = Reciprocal = \(\frac{8}{1}\)
Therefore, it is a whole number.

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(vii) \(\frac{1}{11}\) = Reciprocal = \(\frac{11}{1}\)
Therefore, it is a whole number.