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anonymous
 4 years ago
Dividing fractions..
anonymous
 4 years ago
Dividing fractions..

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KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1So suppose you have a fraction \[\Large \frac{5/4}{7/3}\]Then this can be simplified by doing \[\Large \frac{5}{4}\times\frac{3}{7}=\frac{15}{28}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Division is defined as multiplication by the reciprocal, yes.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1For another example, if you have \[\Large \frac{5/4}{7}\]Then this is the same thing as \[\Large \frac{5/4}{7/1}=\frac{5}{7}\times \frac{1}{4}=\frac{5}{28}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Interestingly enough, \(\large 5/4 ÷ 7/3 = \frac{5÷7}{4÷3} = 5/7 ÷ 4/3.\)

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1Now using the examples I just gave, can you tell me what \[\Large \frac{3/2}{6/5}\]can be simplified to?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0In general we can say when you divide, a\[(a \div b)\div(c \div d) = (a \div b)\times(d \div c)\]

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1Now, 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.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1Right again. I think you're getting the hang of this. Does this help you with the problems you were given?

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1I strongly believe in the power of varying examples that are usually more difficult than necessary.
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