Respuesta :

Answer:

The reciprocal of [tex] \frac { 7 } { 9 } [/tex] is [tex] \frac { 9 } { 7 } [/tex].

Step-by-step explanation:

We are asked about the reciprocal of the given fraction [tex] \frac { 7 } { 9 } [/tex].

We know that in mathematics, a reciprocal is the multiplicative inverse of a number.

For example, in case of a fraction, its reciprocal will be its inverse which means that we swap the places of numerator and denominator.

So the reciprocal of [tex] \frac { 7 } { 9 } [/tex] will [tex] \frac { 9 } {7 } [/tex].

Fractions are always set up with numerator on top and denominator on bottom like so:

[tex]\frac{numerator}{denominator}[/tex]

To take the reciprocal of a number you must switch the places of numerator and denominator.

Reciprocal of [tex]\frac{7}{9}[/tex] is [tex]\frac{9}{7}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

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