Question

The sum of two rational numbers is $-1\frac{2}{5}$ . If one of the them is $\frac{-4}{7}$ find the other.

Answer 1

Let the other number be $x$

Given one of the number is $-\frac{4}{7}$

Sum of the rational numbers is $-1\frac{2}{5}$

$⟹-\frac{4}{7}+x=-1\frac{2}{5}$

$⟹x=\frac{4}{7}-(1+\frac{2}{5})$

$⟹x=\frac{4}{7}-\frac{7}{5}$

$⟹x=\frac{20-49}{35}$

$⟹x=-\frac{29}{35}$

So the other number is $-\frac{29}{35}$