Answer :

When you want to find the reciprocal of a fraction, you "flip" the fraction.  That means that you will turn the denominator into the numerator and the numerator into the denominator.  Example:
[tex] \frac{7}{8} [/tex]⇒[tex] \frac{8}{7} [/tex] I "flipped" the fraction.  Just do the same thing to the fraction given.

[tex] \frac{9}{14} [/tex]⇒[tex] \frac{14}{9} [/tex] Apply those rules to every question that asks for a reciprocal.
boffeemadrid

The reciprocal of a given number is required.

The reciprocal of the given number is [tex]\dfrac{14}{9}[/tex].

The given number is [tex]\dfrac{9}{14}[/tex]

Reciprocal of a number is 1 divided by the number so

[tex]\dfrac{9}{14}\\ =\dfrac{1}{\dfrac{9}{14}}[/tex]

Using the multiply with the inverse rule we get

[tex]1\times \dfrac{14}{9}\\ =\dfrac{14}{9}[/tex]

So, the reciprocal of the given number is [tex]\dfrac{14}{9}[/tex].

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