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Dividing fractions..

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So suppose you have a fraction \[\Large \frac{5/4}{7/3}\]Then this can be simplified by doing \[\Large \frac{5}{4}\times\frac{3}{7}=\frac{15}{28}\]
Division is defined as multiplication by the reciprocal, yes.
For another example, if you have \[\Large \frac{5/4}{7}\]Then this is the same thing as \[\Large \frac{5/4}{7/1}=\frac{5}{7}\times \frac{1}{4}=\frac{5}{28}\]

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Interestingly enough, \(\large 5/4 ÷ 7/3 = \frac{5÷7}{4÷3} = 5/7 ÷ 4/3.\)
Now using the examples I just gave, can you tell me what \[\Large \frac{3/2}{6/5}\]can be simplified to?
In general we can say when you divide, a\[(a \div b)\div(c \div d) = (a \div b)\times(d \div c)\]
Is it.. 1 1/4
That's correct.
Now, let's mix it up a bit. What about \[\Large \frac{8}{2/5}\]If this is a bit confusing, try turning the 8 into a fraction and seeing what you can do then.
Um.. 20?
Right again. I think you're getting the hang of this. Does this help you with the problems you were given?
Yeah, it does.
You're welcome.
I strongly believe in the power of varying examples that are usually more difficult than necessary.

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