Respuesta :

Answer:

[tex]\frac{6}{35}[/tex]

Step-by-step explanation:

To find the ' middle ' add the 2 fractions and divide by 2 ( average )

[tex]\frac{1}{5}[/tex] + [tex]\frac{1}{7}[/tex] ( change denominators to 35 , the LCM of 5 and 7 )

= [tex]\frac{7}{35}[/tex] + [tex]\frac{5}{35}[/tex]

= [tex]\frac{12}{35}[/tex]

midway = [tex]\frac{12}{35}[/tex] ÷ 2 = [tex]\frac{6}{35}[/tex]

The fraction is exactly midway between 1/5 and 1/7  is  [tex]\frac{6}{35}[/tex] .

What is midway?

Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a given line segment. This middle point is called the "midpoint".

According to the question

The fraction is exactly midway between 1/5 and 1/7

Now ,

To find midway between 1/5 and 1/7

Step1 : Add fraction 1/5 and 1/7

= [tex]\frac{1}{5} +\frac{1}{7}[/tex]

= [tex]\frac{12}{35}[/tex]

Step2 : Divide the sum by 2 or multiply by 1/2

= [tex]\frac{12}{35}[/tex] * [tex]\frac{1}{2}[/tex]

= [tex]\frac{6}{35}[/tex]

Hence, the fraction is exactly midway between 1/5 and 1/7  is  [tex]\frac{6}{35}[/tex] .

To know more about midway here:

https://brainly.com/question/511147

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