Question

Which of the following is the product of (-7/16) and reciprocal of (- 21/4)) ?​

Answer 1

SOLUTION :

TO DETERMINE

$\displaystyle \sf{}The \: product \: of \: \frac{ - 7}{16} \: and \: reciprocal \: of \: \frac{ - 21}{4}$

CONCEPT TO BE IMPLEMENTED

For any non zero real number x

$\displaystyle \sf{}The \: reciprocal \: of \: x \: \: is \: \: = \frac{1}{x}$

EVALUATION

Here

$\displaystyle \sf{}The \: reciprocal \: of \: \frac{ - 21}{4} \: = \frac{1}{ \frac{ - 21}{4} } = \frac{ - 4}{21}$

Hence

$\displaystyle \sf{}The \: product \: of \: \frac{ - 7}{16} \: and \: reciprocal \: of \: \frac{ - 21}{4}$

$\displaystyle \sf{} = \frac{ - 7}{16} \times \frac{ - 4}{21}$

$\displaystyle \sf{} = \frac{1}{12}$

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