How do you multiply #6\frac { 2} { 3} \cdot 3\frac { 3} { 6}#?

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Answer 1 · 2017-05-27T00:00:15

The answer is #70/3# when everything is done.

One method that would probably work out well for you is to convert the numbers into impartial fractions. #6=18/3# and #3=18/6#.

You would then add these numbers to your fractions to get improper fractions:
#(18/3+2/3)*(18/6+3/6)#

Simplify them into #20/3*21/6# and multiply as usual to get #420/18#, or #70/3#.

Answer 2 · 2017-05-27T00:15:32

# = 23 1/3#

For multiplying with mixed numbers, change them to improper fractions first:

#6 2/3 xx 3 3/6" "larr 3/6= 1/2#

#= 6 2/3 xx 3 1/2#

#= cancel20^10/3 xx7/cancel2" "larr# cancel where possible

#=70/3#

# = 23 1/3#