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

P Pankaj Sanodiya

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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