How do you divide #3\frac { 3} { 5} \div 4\frac { 1} { 2}#?

1 Answer
smendyka
Dec 10, 2016

#4/5#

Explanation:

First we need to convert these mixed fractions into improper fractions by multiplying the integer portion of the fraction by the correct form of #1# and then adding it to the fraction portion.

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

#(15/5 + 3/5) -: (8/2 + 1/2)#

#18/5 -: 9/2#

Now we can rewrite this expression as:

#(18/5)/(9/2)#

The rule for dividing fractions is:

#color(red)((a/b)/(c/d) = (a*d)/(b*c))#

Apply this to our problem gives:

#(18*2)/(5*9)#

#36/45#

#9/9 * 4/5#

#1*4/5#

#4/5#

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