Respuesta :

Step-by-step explanation:

To find the reciprocal of any number, we have to divide 1 by the given number.

The reciprocal of 3=

[tex] \frac{1}{3} [/tex]

The reciprocal of =

[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to find the reciprocal of a number, all we should do is flop the number over.

Sounds easy, right? Let's find the reciprocal of 3.

What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].

We found the reciprocal of 3. :)

Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].

Let's flop it over:

[tex]\displaystyle\frac{3}{2}[/tex]

Hope you could understand everything.

#CarryOnLearning