How do you find the quotient of 2/9 divided by 5/4?

1 Answer
Nov 10, 2015

Answer:

#8/45#

Explanation:

Rewrite in fraction form: #(2/9)/(5/4)#

This fraction falls into the #a,b,c,d# pattern where when dividing 2 fractions: #(a/b)/(c/d)# you can rewrite the problem as:
# (a*d)/(b*c)# Now just plug in the original numbers in their form so you get:

#(2*4)/(9*5) -> 8/45#

OR you can use keep it, change it, flip it:
Keep it: #2/9#
Change it: #*#
Flip it: #4/5#
Then just multiply straight across to get : #8/45#