Question

Tick (✓) the correct answer
The sum of two numbers is $\frac{-4}{3}.$ If one of the numbers is −5, what is the other?
(a) $\frac{-11}{3}$
(b) $\frac{11}{3}$
(c) $\frac{-19}{3}$
(d) $\frac{19}{3}$

Answer 1

(b) $\frac{11}{3}$
Let the other number be x.

Now,

$x+\left(-5\right)=\frac{-4}{3}$
$$\begin{gathered} \Rightarrow x=\frac{-4}{3}+\left(\mathrm{Additive}\mathrm{inverse}\mathrm{of}-5\right) \\ \Rightarrow x=\frac{-4}{3}+5 \end{gathered}$$

$$\begin{gathered} =\frac{-4}{3}+\frac{5}{1} \\ =\frac{\left(-4\right)+15}{3} \\ =\frac{11}{3} \end{gathered}$$