Question

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

• A. $\frac{96}{75}$
• B. $\frac{7}{3}$
• C. $\frac{21}{9}$
• D. (b) and (c) above.

Answer 1

The correct option is D (b) and (c) above.

Given,
The product of two rational number $=\frac{28}{15}$
And ,one rational number is$=\frac{4}{5}$
Let the other be $x$.
So,
$\Rightarrow x\times \frac{4}{5}=\frac{28}{15}$
On cross multiplication we get,
$\Rightarrow x=\frac{28}{15}\times \frac{5}{4}$
on simplification we get,
$\Rightarrow x=\frac{7}{3}$
on multiplying 3 to numerator and denominator we get,
$\Rightarrow x=\frac{7\times 3}{3\times 3}=\frac{21}{9}$.