Question

2/9 diveded by 7/12

Answer 1

a/b divided by c/d is the same as multiplying the divisor inverse, or
a*d/b*c
2/8 x 12/7= 24/56 and you can reduce that to 6/14 or 3/7 check that.

Answer 2

( a / b ) / ( c / d ) = a ∙ d / b ∙ c

In this case:

( 2 / 9 ) / ( 7 / 12 ) = 2 ∙ 12 / 9 ∙ 7 = 24 / 63 = 3 ∙ 8 / 3 ∙ 21 = 8 / 21

OR

Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal of the other.

The reciprocal of the 7 / 12 = 12 / 7

( 2 / 9 ) / ( 7 / 12 ) = 2 / 9 ∙ 12 / 7 =

2 ∙ 12 / 9 ∙ 7 = 24 / 63 = 3 ∙ 8 / 3 ∙ 21 = 8 / 21