Question

The reciprocal of 7/11 is _____​

Answer 1

$reciprocal \: of \frac{7}{11} \: is \: \frac{11}{7}$

Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{7}{11} }$

EVALUATION

We know that a number m is said to be reciprocal of n if m × n = 1

More precisely

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

$\displaystyle \sf{Here \: the \: given \: number \: is \: \frac{7}{11} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: \frac{7}{11} }$

So by the given condition

$\displaystyle \sf{ n \times \frac{7}{11} = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{11}{7} }$

FINAL ANSWER

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{7}{11} } \: \: is \: \: \frac{11}{7}$

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