Question

Find the fraction which is exactly halfway between 1 upon 7 and 4 upon 7.

Answer 1

The fraction halfway between 1 in 7 and 4 in 7 is:

(1/7 + 4/7) / 2

= (5/7) / 2

To divide a fraction by a number, multiply the first by the inverse of the second.

= 5/7 * (1/2)

= 5/14

So the desired fraction is 5 /14.

Explanation:

Answer 2

`\Huge \boxed{ \bf{ (5)/(14) }}`

Explanation:

To find the fraction that is exactly halfway between
`(1)/(7)` and
`(4)/(7)`, we need to take the average of these two fractions.

--To do this, we add the two fractions and divide the sum by 2:

• 
  `\texttt{($(\tt1)/(\tt7)$ + $(\tt4)/(\tt7)$ ) $/$ 2 = Answer}`

--Since the denominators (7) are the same, we add the numerators (1 + 4).

• 
  `\texttt{$\frac{\tt{5}}{\tt7}$ $/$ $(\tt2)/(\\1)$ (same as 2) = Answer}`

--Dividing fractions is the same as multiplying by the reciprocal, we flip 2/1 to 1/2, and then we change the "÷" to "×."

• 
  `\texttt{$(\tt5)/(\tt7)$ $*$ $(\tt1)/(\tt2)$ = $(\tt5)/(\tt14)$ }`

Therefore, the fraction that is exactly halfway between 1/7 and 4/7 is 5/14.

________________________________________________________