Question

find 6 rational numbers between 5 and 7​

Answer 1

Answer:

$\bf \Rightarrow \frac{37}{7} , \frac{39}{7}, \frac{41}{7}, \frac{43}{7}, \frac{45}{7}, \frac{47}{7}$

Step-by-step explanation:

To find n rational number using

d=(b-a)/(n+1)

Then rational numbers are

a+d,a+2d,----------,a+nd

Here a=5 and b=7 ,n=6

so d=(7-5)/(6+1)=2/7

Thus the required rational numbers are

$5+\frac27 , 5+\frac{2\times2}{7} ,5+\frac{3\times2}{7},5+\frac{4\times2}{7},5+\frac{5\times2}{7},5+\frac{6\times2}{7}\\\\\Rightarrow \frac{35}{7}+\frac27, \frac{35}{7}+\frac47,\frac{35}{7}+\frac67,\frac{35}{7}+\frac87,\frac{35}{7}+\frac{10}{7},\frac{35}{7}+\frac{12}{7}\\\\\bf \Rightarrow \frac{37}{7} , \frac{39}{7}, \frac{41}{7}, \frac{43}{7}, \frac{45}{7}, \frac{47}{7}$