Respuesta :

Answer:

3/22

Step-by-step explanation:

Reciprocal means the inverse of the fraction. For your mixed number 7 and 1/3, turn it into fraction by multiplying 7 with the denominator which is 3, then add the numerator which is 1 to get the numerator of a normal fraction which is 22. The numerator remains the same.

The fraction is 22/3. As mentioned above, reciprocal means the inverse, so the final answer is 3/22

The reciprocal of a number in mathematics is referred to as the inverse of that number.

This means that:

Given a number x, its reciprocal is :

[tex]x = x/ 1= 1/x[/tex]

Given a number 1/x, its reciprocal is

[tex]1/x = x/1[/tex]

The reciprocal of [tex]7\frac{1}{3}[/tex]  is [tex]\frac{3}{22}[/tex]

From the question, [tex]7\frac{1}{3}[/tex] is called a mixed fraction

Converting to an improper fraction

[tex]7\frac{1}{3}[/tex] = [tex]\frac{22}{3}[/tex]

The inverse of [tex]\frac{22}{3}[/tex]

[tex]\frac{22}{3}[/tex] = [tex]\frac{3}{22}[/tex]

Therefore, the reciprocal of [tex]7\frac{1}{3}[/tex]   is [tex]\frac{3}{22}[/tex]

To learn more, visit the link below:

https://brainly.com/question/18054668