How do you divide #\frac { 6} { 2} \div \frac { 10} { 9}#?

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Answer 1 · 2018-01-23T08:06:55

#27/10#

#6/2-:10/9#

Well, dividing by a fraction, let's say #a/b#, is the same as multiplying by its reciprocal, which will be #b/a#.

So, we can rewrite it as

#6/2*9/10#

Now, we can just multiply it easily.

#(6*9)/(2*10)#

#54/20#

#2 14/20#

Furthermore, let's simplify it. We know that the greatest common factor of #14# and #20# is #2#, so we can divide both of them by #2# to get:

#2 7/10#

Now, let's convert it into an improper fraction, because both fractions in the original problem are improper.

#2 7/10 = 27/10#