Question

Consider the following rational numbers -2 by 3 , -4 by 5 and 1 by 2 and show that the subtraction of rational no.s are not ' associative '..​

Answer 1

17 is the correct answer

Answer 2

Answer:

the rational numbers are:

$- \frac{2}{3} \\ - \frac{4}{5} \\ \frac{1}{2}$

by taking (1) and (2)

(i)-(ii)

$- \frac{ 2}{3} - ( - \frac{4}{5} ) = - \frac{2}{3} + \frac{4}{5} = \frac{ - 10 + 12}{15} = \frac{2}{15}$

(ii)-(i)

$- \frac{4}{5} - ( - \frac{2}{3} ) = - \frac{4}{5} + \frac{2}{3} = \frac{ - 12 + 10}{15} = \frac{ - 2}{15}$

here, they are not equal. so they are not associative