Subjective Type

Write down the reciprocal of $$12\cfrac{3}{5}$$

Solution

Reciprocal of a number is a number which when multiplied to original number results in $$1$$
$$1^{st}$$ we will convert mixed fraction into improper fraction.
$$\therefore 12\cfrac{3}{5}=\cfrac{12\times 5+3}{5}=\cfrac{63}{5}$$
Let $$x$$ be the reciprocal of the $$12\cfrac{3}{5}$$ i.e. $$\cfrac{63}{5}$$
$$\therefore \cfrac{63}{5}\times x=1$$
$$\Rightarrow x=\cfrac{5}{63}$$
Hence, Reciprocal of $$12\cfrac{3}{5}$$ is $$\cfrac{5}{63}$$

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