Respuesta :

Answer:

10/27

Step-by-step explanation:

Simplify the following:

(5/6)/(9/4)

Multiply the numerator by the reciprocal of the denominator, (5/6)/(9/4) = 5/6×4/9:

(5×4)/(6×9)

The gcd of 4 and 6 is 2, so (5×4)/(6×9) = (5 (2×2))/((2×3) 9) = 2/2×(5×2)/(3×9) = (5×2)/(3×9):

(5×2)/(3×9)

3×9 = 27:

(5×2)/27

5×2 = 10:

Answer: 10/27