Question

rational numbers between 5\7 ns 6\7​

Answer 1

Step-by-step explanation:

Hope it helps you.....................

Answer 2

The rational numbers between $\frac{5}{7} and\frac{6}{7}$  are  $\frac{3}{4} ,\frac{11}{14} ,\frac{23}{28}$

Explanation:

To find:

The rational numbers between 5\7 and 6\7​

Solution:

==> There are uncountable rational numbers on the number line

==> The rational number between 5/7 and 6/7

==> The mid point of 5/7 and 6/7

==> $\frac{5}{7} +\frac{6}{7}$

==> to find mid point=  sum of the value/2

==> $\frac{\frac{11}{7} }{2}$

==> Mid point $\frac{11}{14}$

==> The rational number between 5/7 and 6/7 is 11/14

==> To find a rational number between 5/7 and 11/14

==> Find mid point between 5/7 and 11/14

==>sum of the values = $\frac{5}{7} +\frac{11}{14}$

==> sum of the values = $\frac{5(2)}{7(2)} +\frac{11}{14}$

==> sum of the values = $\frac{10}{14} +\frac{11}{14}$

==> sum of the values = $\frac{21}{14}$

==> sum of the values = $\frac{3}{2}$

==> Mid point = $\frac{\frac{3}{2} }{2}$

==> The value between 5/7 and 11/14 is 3/4

==> Find midpoint between  11/14 and 6/7

==>sum of the values = $\frac{6}{7} +\frac{11}{14}$

==> sum of the values = $\frac{6(2)}{7(2)} +\frac{11}{14}$

==> sum of the values = $\frac{12}{14} +\frac{11}{14}$

==> sum of the values = $\frac{23}{14}$

==> Mid point = $\frac{\frac{23}{14} }{2}$

==> The value between 5/7 and 11/14 is 23/28

The rational numbers between $\frac{5}{7} and\frac{6}{7}$  are  $\frac{3}{4} ,\frac{11}{14} ,\frac{23}{28}$