Question

The denominator of a rational numbers is greater than it numerator by 8. If the numerator is increased by 17and the denominator is decreased by 1, the number obtain is 3/2.find the ratioal number. ​

Answer 1

Answer:

-14/3

Step-by-step explanation:

3/2. We should subtract 17 from the numerator and add 1 to the denominator.

(3-17)/(2+1) = -14/3

Answer 2

Step-by-step explanation:

.

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf \dfrac{n + 17 }{(n + 8) - 1} = \dfrac{3}{2}\\\\\\:\implies\sf \dfrac{n + 17 }{n + 7} = \dfrac{3}{2}\\\\\\:\implies\sf 2 (n + 17 ) = 3 (n + 7 )\\\\\\:\implies\sf 2n + 34 = 3n + 21\\\\\\:\implies\sf 34-21=3n-2n\\\\\\:\implies\sf n=13$

⠀

$\dag\:\underline{\boxed{\sf Original\:Fraction=\dfrac{n}{n + 8} = \dfrac{13}{(13 + 8)} = \dfrac{13}{21} }}$