Tick (✓) the correct answer
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,

$\frac{7}{12}+x=\frac{-4}{15}$

$\Rightarrow x=\left(\frac{-4}{15}+\frac{-7}{12}\right)$

$=\frac{4 \times(-4)+5 \times(-7)}{60}$

$=\frac{(-16)+(-35)}{60}$

$=\frac{-51}{60}$

$=\frac{-17}{20}$