Respuesta :

(2 4/9) / (11/9)...turn mixed number into improper fraction
(22/9) / (11/9) ..when dividing fractions, flip what u r dividing by, then multiply
22/9 * 9/11 = 
22/11 =
2 <==
Hi!

First, let's convert [tex]2 \frac{4}{9} [/tex] to a fraction instead of a mixed number.
To do this, multiply the whole number by the denominator, then add the numerator. That's your new numerator, the denominator stays the same. 

9 x 2 = 18
18 + 4 = 22
[tex] \frac{22}{9} [/tex]

Now when dividing fractions, multiply the first fraction by the reciprocal of the second fraction. (the reciprocal is the upside down version of the fraction)

[tex] \frac{22}{9} * \frac{9}{11} [/tex]
22 x 9 = 198
9 x 11 = 99

[tex] \frac{198}{99} [/tex] (simplify:) 2

The answer is 2 :)

Hope this helps! :)