Question

reciprocate 17/19 with explanation ​

Answer 1

The reciprocal of a rational number a/b is its multiplicative inverse, 1/(a/b) = b/a. That is, by definition of multiplicative inverse,

a/b • 1/(a/b) = 1

Then

1/(a/b) = b/(a/b • b) = b/a

So, the reciprocal of 17/19 is simply 19/17.

Answer 2

hello!

In order to find the reciprocal of a number, we should flop it over.

Now, "flopping over" is not the same as "changing the sign"

If we have a fraction, and we're asked to find its reciprocal, then the numerator and denominator switch places.

Please consult the following formula for more details:-

$\sf{The~reciprocal~of~a~is~\frac{1}{a} }$

$\sf{The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}$

According to the $Reciprocal~formula$, the reciprocal of $\displaystyle\frac{17}{19}$ is:-

$\sf{\displaystyle\frac{19}{17} }$

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)