2. 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}

Answers (1)

As we know, in the reciprocal of any fraction, the numerator and denominator get exchanged. Basically, we flip the number upside down. So

i)Reciprocal\:\: o\!f \: \frac{3}{7}=\frac{7}{3}

As numerator is greater than the denominator, it is an improper fraction.

ii)Reciprocal\:\: o\!f \: \frac{5}{8}=\frac{8}{5}

As numerator is greater than the denominator, it is an improper fraction.

iii)Reciprocal\:\: o\!f \: \frac{9}{7}=\frac{7}{9}

As the Denominator is greater than Numerator, it is a proper fraction.

iv)Reciprocal\:\: o\!f \: \frac{6}{5}=\frac{5}{6}

As the Denominator is greater than Numerator, it is a proper fraction.

v)Reciprocal\:\: o\!f \: \frac{12}{7}=\frac{7}{12}

As the Denominator is greater than Numerator, it is a proper fraction.

vi)Reciprocal\:\: o\!f \: \frac{1}{8}=\frac{8}{1}=8

It is an integer and hence a  whole Number.

vii)Reciprocal\:\: o\!f \: \frac{1}{11}=\frac{11}{1}=11

It is an integer and hence a  whole Number.

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