( 10ab/x^2 y ) / ( 15ab/7x^2 y )
=( 10ab/x^2 y ) · ( 7x^2 7/15ab ) (find the reciprocal of the divisor and change the operation to multiplication)
=( 2/x^2 y) · ( 7x^2 y/3 ) (cancel the numerator of fraction 1 and the denominator of fraction 2)
=( 2/1 ) · ( 7/3 ) (cancel the denominator of fraction 1 and the numerator of fraction 2)
=14/3