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