Question

# What number should be added to $\frac{{ - 6}}{5}$ as so to get $\frac{1}{3}$?

Hint: Use the property of equation .We know an equation has two sides and if we shift a number from one side of an equation to the other side, the sign of the number also changes.
Let a number be $x$.

If we add $x$ to $\frac{{ - 6}}{5}$ we get $\frac{1}{3}$ .
$\Rightarrow \frac{{ - 6}}{5} + x = \frac{1}{3}$
Now, if we shift $\frac{{ - 6}}{5}$ to the other side of an equation. So, the sign of a number change.
$\Rightarrow x = \frac{1}{3} + \frac{6}{5}$
$\Rightarrow x = \frac{{5 + 18}}{{15}} \\ \Rightarrow x = \frac{{23}}{{15}} \\$
So, if $\frac{{23}}{{15}}$ is added to $\frac{{ - 6}}{5}$ then we get $\frac{1}{3}$ .