Hoi!
To divide fractions, we must multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is just a fancy way of saying a flipped fraction)
[tex] \frac{3}{4} [/tex] × [tex] \frac{14}{9} [/tex]
14 × 3 = 42
4 × 9 = 36
Your fraction is [tex] \frac{42}{36} [/tex], but this can be simplified since both fractions have a common factor of 6.
42 ÷ 6 = 7
36 ÷ 6 = 6
Your simplified fraction is [tex] \frac{7}{6} [/tex] or [tex]1 \frac{1}{6} [/tex]
