Respuesta :

Given:

The equation is

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

To find:

The coefficient and reciprocal.

Solution:

We have,

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.

So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].

To find the reciprocal, we need to interchange numerator and denominator of a fraction.

So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]

Therefore, the reciprocal is 3.