The reciprocals of the squares of the number $$1\frac{1}{2}$$ and $$1\frac{1}{3}

Question

The reciprocals of the squares of the number $$1\frac{1}{2}$$ and $$1\frac{1}{3}$$ are in the ratio :

Options:

A . 64 : 81

B . 8 : 9

C . 81 : 64

D . 9 : 8

Answer: Option A
$$1\frac{1}{2}$$ = $$\frac{3}{2}$$
$$1\frac{1}{3}$$ = $$\frac{4}{3}$$
Square = $$\frac{9}{4}$$ $$\frac{16}{9}$$
Reciprocal ratio
$$\frac{4}{9}$$ : $$\frac{9}{16}$$
64 : 81

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