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.