Introduction: Dividing Fractions

Picture of Dividing Fractions

This Instructable will teach you how to divide fractions. Dividing fractions consists of finding the reciprocal of one number, cross-canceling, and finally multiplying the fractions(no, I am not mistaken).Please vote, too.

Step 1: What to Get

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You will need
-a piece of paper
-a writing surface
-something to write with

Step 2: Writing the Problem

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You need to write out the problem now. Just put your fractions in the place of mine(obviously you will get a different answer then). Make sure your fraction isn't a mixed number. In that case, you must convert the mixed number to an improper fraction. Do so by multiplying the whole number by the denominator and adding it to the numerator(see intro picture).

Step 3: Finding the Reciprocal

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Now you need to find the reciprocal(the opposite) of the second fraction. To find the reciprocal, basically flip the fraction upsidedown.

Step 4: Getting Ready to Multiply

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Now you switch the division sign with a multiplication sign. When all that is done, you are finally ready to multiply.

Step 5: Multiplying (Finally!)

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Multiply the numerator of one fraction by the numerator of the other fraction. This becomes the answer's numerator. Do the same with the denominator to get the answer's denominator.

Step 6: Reducing

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Lastly, you must reduce. To do so, continually divide the numerator and the denominator by the same common factor until their greatest common factor(GCF) is one.

Step 7: Done!

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Now that your done, you can go turn in your homework or show it off to your annoying, smart-headed sister.If you have any problems try going through the steps again.


dolphinlms (author)2012-01-19

Yep, definitely change that because 1/2 divided by 3/4 is NOT equal to 1/2 times 3/4. When you write the reciprocal you must simultaneously write the inverse operation. They are one step.

JakeTobak (author)2009-02-03

You might want to, imo, make the Finding the reciprocal and Multiplying step into one. Just cause if I was a teacher and saw this at any step:
(1/2)/(3/4) = (1/2)/(4/3)
I would mark it wrong.
I see why you wrote it that way, but I think every part of the solution should be a true statement.
I don't mean to be nitpicky, it's a great instructable, but actually I do mean to be nitpicky... I just don't mean it to be offensive :P

DavidRobertson (author)JakeTobak2009-02-13

you mean constructive criticism.

beehard44 (author)DavidRobertson2011-11-16

I write it as 1/2 / 3/4 -> 1/2 / 4/3

gofio600 (author)2011-11-02

Anything that fosters an interest in maths. is to be encouraged. ~Well done!

striker187 (author)2009-02-04

OK thanks I'll change that

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