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~(1)/(a) }`

`\sf{The~reciprocal~of~(a)/(b) ~is~(b)/(a) }}`

According to the
`Reciprocal~formula`, the reciprocal of
`\displaystyle(17)/(19)` is:-

`\sf{\displaystyle(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 :)