Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:j
The given expression:
[tex]\dfrac{\dfrac{3}{j}}{\dfrac{9}{j}}[/tex]
To divide a fraction by another fraction, we multiply the fraction in numerator with the reciprocal of the fraction in denominator.
To get the reciprocal of a fraction, we need to switch denominator and numerator of a fraction.
i.e.
[tex]\dfrac{\dfrac{3}{j}}{\dfrac{9}{j}}=\dfrac{3}{j}\times\dfrac{j}{9}[/tex]
Now, cancelling the common terms in numerator and denominator , we get
[tex]\dfrac{1}{3}[/tex]
Hence, the simplest form of the given quotient : [tex]\dfrac{1}{3}[/tex]
