How do you simplify #3 3/5 div 2 1/2#?

1 Answer
Feb 15, 2017

Answer:

See the entire simplification process below:

Explanation:

First, we need to convert these mixed fractions to improper fractions by multiplying the integer portion of the mixed fraction by the appropriate form of #1# and then adding the result to the fraction portion of the mixed fraction:

#3 3/5 -: 2 1/2# becomes:

#((3 xx 5/5) + 3/5) -: ((2 xx 2/2) + 1/2)#

#(15/5 + 3/5) -: (4/2 + 1/2)#

#18/5 -: 5/2#

We can rewrite this as:

#(18/5)/(5/2)#

Now, we can use this rule for dividing fractions to obtain the result:

#(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))#

#(color(red)(18)/color(blue)(5))/(color(green)(5)/color(purple)(2)) = (color(red)(18) xx color(purple)(2))/(color(blue)(5) xx color(green)(5)) = 36/25#

Or

#(25 + 11)/25 = 25/25 + 11/25 = 1 + 11/25 = 1 11/25#