How do you simplify #5/9 *div* (4/9-3/18) #?

1 Answer
Jun 23, 2017

Answer:

See explanation.

Explanation:

First you have to find a common denominator for both fractions in brackets:

#5/9 -: (8/18-3/18)#

Now you can do the subtraction:

#5/9 -: 5/18# ##

Now you have to change the division to multiplication using the formula:

#a/b -: c/d=a/b xx d/c#

In the given example you get:

#5/9 xx 18/5= cancel(5)/9xx18/cancel(5)=18/9=2# ##