Question

the mean of 5/7 and 7/5​

Answer 1

given::

to calculate mean of $\tt \dfrac{5}{7} \:and\: \dfrac{7}{5}$

solution::

to calculate the average/mean ,

we first add the numbers.

$\tt ===> \dfrac{5}{7}+\dfrac{7}{5}$

$\tt ===> \dfrac{5×5}{7×5}+\dfrac{7×7}{5×7}$

$\tt ===> \dfrac{25}{35}+\dfrac{49}{35}$

$\tt ===> \dfrac{74}{35}$

now,

divide the sum by the total number of observations which is 2 in this case.

$\tt ===> \dfrac{74}{35×2}$

$\boxed{\blue{\tt ===> \dfrac{74}{70}}}$

you can leave the answer till here or simplify further as :-

$\boxed{\red{\tt ===> \dfrac{37}{35}}}$

now since 37 is a prime we cannot simplify further. hence, 37/35 is the mean of 5/7 and 7/5

hope this helps..!!