Question

Express $$\dfrac{2}{5}$$ as a rational number with numerator :

$$-56$$

Answer 1

In the fraction $$\dfrac25$$ the numerator is equal to $$2$$ and we want that numerator to be equal to $$-56.$$

Let we will have to multiply $$x$$ in the numerator and the denominator of the fraction $$\dfrac25$$ to make numerator equal to $$-56.$$ So,

$$2\times x = -56$$

$$\Rightarrow x=-28$$

Hence,

$$\begin{aligned}{}\frac{2}{5} &= \frac{{2 \times - 28}}{{5 \times - 28}}\\ \\&= \frac{{ - 56}}{{ - 140}}\end{aligned}$$