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Question

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

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

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Solution

A proper fraction is the fraction which has its denominator greater than its numerator while improper fraction is the fraction which has its numerator greater than its denominator. Whole numbers are a collection of all positive integers including 0.

(i)

Reciprocal =

Therefore, it is an improper fraction.

(ii)

Reciprocal =

Therefore, it is an improper fraction.

(iii)

Reciprocal =

Therefore, it is a proper fraction.

(iv)

Reciprocal =

Therefore, it is a proper fraction.

(v)

Reciprocal =

Therefore, it is a proper fraction.

(vi)

Reciprocal =

Therefore, it is a whole number.

(vii)

Reciprocal =

Therefore, it is a whole number.


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