Introduction: Dividing Fractions

Picture of Dividing Fractions

looking to find out how to divide fractions?

well you've come to the right instructable

if you liked this instructable, dont forget to vote!

Step 1: The Problem

Picture of The Problem

First, you gotta have a problem.

ill start it off with something easy

Step 2: Making a Reciprocal

Picture of Making a Reciprocal

dividing fractions is as easy as multiplying- basically because it almost IS multiplying.

what you have to do is make a reciprocal, which is flipping the fraction.

notice how the division sign changed to a multiplication sign

make sure you make the fraction on the RIGHT side the reciprocal

Step 3: And....!

Picture of And....!

Now, all you have to do is multiply from one side to the next!

its that easy!

dont forget to simplify!

Step 4: But What If...?

Picture of But What If...?

but what if you have mixed fractions?


make them into improper fractions!

multiply the whole number with the denominator
then add that number to the numerator, and write it out.

then, just repeat steps 1 - 3!

Step 5: Additional Worksheets...

heres a worksheet to get you started -


kidrock2 (author)2009-07-04

My math teacher said something to help remember the process and I have never forgotten it: (yours is not to reason why, just invert and multiply) It's catchy!!

Ayacel (author)2009-02-18

where is the = 1 comes from?

INSTRUCTUBAL (author)Ayacel2009-02-18

when something is the same numerator/denominator, it becomes a "1", because a fraction is really a division problem. so 20 goes into 20 once, which makes it one.

tfaulk26 (author)2009-01-29

What's next? Are going to see postings about multiplication table? I thought this site is for more sophisticated stuff...

INSTRUCTUBAL (author)tfaulk262009-01-29

yeah, but what if your child is asking you for help? you just send them here 0.0

purduecer (author)2009-01-28

May want to warn about inadvertent division by zero as well

Weissensteinburg (author)2009-01-28

The phrase that my middle school teacher taught us (and I still use today) is "Keep it, Change it, Flip it." It refers to making the reciprocal, but is much easier to remember. Keep the first fraction, Change the sign to multiplication, Flip the second fraction.

. I was just told to "invert and multiply." KCF would have been easier to remember.

thats actually pretty good :P

xACIDITYx (author)2009-01-28

Unfortunately, all your pictures you used at first (showing the problem before reciprocating) has a Multiplication sign, not a division sign.

INSTRUCTUBAL (author)xACIDITYx2009-01-28

WOW... i am SO careless... im gonna have to fix that.

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