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  • Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

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}

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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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Pankaj Sanodiya

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