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) $\frac{19}{3}$
Solution:
(b) $\frac{11}{3}$
Let the other number be x.
Now,
$x+(-5)=\frac{-4}{3}$
$\Rightarrow x=\frac{-4}{3}+($ Additive inverse of $-5)$
$\Rightarrow x=\frac{-4}{3}+5$
$=\frac{-4}{3}+\frac{5}{1}$
$=\frac{(-4)+15}{3}$
$=\frac{11}{3}$
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