Question

Nine times of reciprocal of a rational number equals 6 times the reciprocal of 17. find the rational number

Answer 1

let the rational no. be x
then ATS,
9× 1/x = 6 × 1 / 17
1/x = 6 × 1/17 × 1/9
1/×= 2/51
x= 51 / 2

Answer 2

Answer:

The rational number is $\frac{51}{2}$.

Step-by-step explanation:

Given:- $9 * \frac{1}{rational number} = 6 * \frac{1}{17}$

To Find:- Rational number

Solution:-

Let the rational number be a.

∴ $9 * \frac{1}{a} = 6*\frac{1}{17}$

⇒ $\frac{9*17}{6} = a$

⇒ a = $\frac{3*17}{2}$

⇒ a = $\frac{51}{2}$

Hence, The rational number is $\frac{51}{2}$

#SPJ2