Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

The product of two numbers is $\frac{-16}{35}$. If one of the numbers is $\frac{-15}{14}$, the other is

(a) $\frac{-2}{5}$

(b) $\frac{8}{15}$

(C) $\frac{32}{75}$

(d) $\frac{-8}{3}$

Solution:

(C) $\frac{32}{75}$

Let the other number be x.

Now,

$x \times \frac{-15}{4}=\frac{-16}{35}$

$\Rightarrow x=\frac{-16}{35} \div \frac{-15}{14}$

$=\frac{-16}{35} \times \frac{14}{-15}$

$=\frac{-(16 \times 14)}{-(35 \times 15)}$

$=\frac{16 \times 14}{35 \times 15}=\frac{224}{525}=\frac{32}{75}$

Thus, the other number is $\frac{32}{75}$

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