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Popular Word Problems >

Eight times the reciprocal of a number equals 4 times the reciprocal of 8 . Find the number.

Solution

E i g h t t im es t h e rec i p roc a l o f a n u mb er e q u a l s 4 t im es t h e rec i p roc a l o f 8 . F in d t h e n u mb er .

Solution

The number : 16

Solution steps

Represent the number with

x

A.T.Q.:

8 \cdot \frac{1}{x} = 4 \cdot \frac{1}{8}

Solve for

x, 8 \cdot \frac{1}{x} = 4 \cdot \frac{1}{8} : x = 16

The number : 16

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