How do you divide #1 2/3# by #2 3/4#?

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Answer 1 · 2016-12-07T04:09:15

#20/33#

First, we need to convert each mixed fraction to an improper fraction

#1 2/3 = (3/3 xx 1) + 2/3 -> 3/3 + 2/3 -> 5/3#

#2 3/4 -> (4/4 xx 2) + 3/4 -> 8/4 + 3/4 -> 11/4#

Now we can write the division problem as

#(5/3)/(11/4)#

The rule for dividing fractions is:

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

We can use this rule to divide and solve our problem:

#(5*4)/(3*11)#

#20/33#