Question

The product of two rational numbers is $\frac{28}{15}$. If one of the numbers is $\frac{4}{5}$, what will the other number be?

Answer 1

Product of two rational numbers $=\frac{28}{15}$

One of the rational numbers is $\frac{4}{5}$.

Let the other number be x.

$\Rightarrow x\times \frac{4}{5}=\frac{28}{15}$$\left(0.5Mark\right)$

$\Rightarrow x=\frac{\left(\frac{28}{15}\right)}{\left(\frac{4}{5}\right)}=\frac{28}{15}\times \frac{5}{4}$$\left(0.5Mark\right)$

$\Rightarrow x=\frac{7}{3}$$\left(0.5Mark\right)$

hence, the other number will be $\frac{7}{3}$.$\left(0.5Mark\right)$