How do you simplify #(4/5-6/7)/(2/3-1/8)# ?

1 Answer
Mar 17, 2017

Answer:

#(4/5-6/7)/(2/3-1/8) = -48/455#

Explanation:

#(4/5-6/7)/(2/3-1/8) = (28/35-30/35)/(16/24-3/24)#

#color(white)((4/5-6/7)/(2/3-1/8)) = (((28-30)/35))/(((16-3)/24))#

#color(white)((4/5-6/7)/(2/3-1/8)) = ((-2)/35)-:(13/24)#

#color(white)((4/5-6/7)/(2/3-1/8)) = ((-2)/35)*(24/13)#

#color(white)((4/5-6/7)/(2/3-1/8)) = -48/455#