Question

write a rational number between 2/15 and 8/15​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{Numbers\;are\;\dfrac{2}{15}\;and\;\dfrac{8}{15}}$

$\underline{\textsf{To find:}}$

$\textsf{A rational number between given two rational numbers}$

$\underline{\textsf{Solution:}}$

$\textsf{We apply average method to find a rational}$

$\textsf{between given two rational numbers}$

$\textsf{Let c be a rational number between}\;\mathsf{\dfrac{2}{15}\;and\;\dfrac{8}{15}}$

$\mathsf{Then,}$

$\mathsf{c=\dfrac{\dfrac{2}{15}+\dfrac{8}{15}}{2}}$

$\mathsf{c=\dfrac{1}{2}\left(\dfrac{2}{15}+\dfrac{8}{15}\right)}$

$\mathsf{c=\dfrac{1}{2}\left(\dfrac{2+8}{15}\right)}$

$\mathsf{c=\dfrac{1}{2}\left(\dfrac{10}{15}\right)}$

$\mathsf{c=\dfrac{1}{2}\left(\dfrac{2}{3}\right)}$

$\mathsf{c=\dfrac{1}{3}}$

$\underline{\textsf{Answer:}}$

$\mathsf{The\;required\;rational\;number\;is\;\dfrac{1}{3}}$

$\underrline{\textsf{Find more:}}$

Find three rational number between - 4/ 5 and - 6 / 7

https://brainly.in/question/3903184

Find three rational numbers between and -5/6 and 3/8​

https://brainly.in/question/23692713

Answer 2

HELLO DEAR,

GIVEN:- To write rational number between 2/15 and 8/15.

SOLUTION:- to find the rational number between two rational number is, the average of given number is a rational number between the given number.

So, {2/15 + 8/15} /2

=> {(2 + 8 ) / 15} /2

=> { 10/15} / 2

=> 10 / 30

=> 5/15. is a rational number between the given two rational numbers.

5/15 can be written 1/3 also.

I HOPE IT'S HELP YOU DEAR,

THANKS.