Question:
Tick (✓) the correct answer
What should be added to $\frac{7}{12}$ to get $\frac{-4}{15} ?$
(a) $\frac{17}{20}$
(b) $\frac{-17}{20}$
(c) $\frac{7}{20}$
(d) $\frac{-7}{20}$
Solution:
(b) $\frac{-17}{20}$
Let the required number be x.
Now,
$\frac{7}{12}+x=\frac{-4}{15}$
$\Rightarrow x=\left(\frac{-4}{15}+\frac{-7}{12}\right)$
$=\frac{4 \times(-4)+5 \times(-7)}{60}$
$=\frac{(-16)+(-35)}{60}$
$=\frac{-51}{60}$
$=\frac{-17}{20}$