[Basic Math](Algebra)Dividing fractions

I could use some help on deviding fractions.Many thanks to the people that help me.

Dividing fractions is the same as multiplying by the reciporical.

For example, 1/2 divided by 4/7 is the same as 1/2 times 7/4. Hope that helps.

*Sigh* I'm too tired to yell about rules. I'll just change the topic name.

When you divide fractions, you multipl diagonally. So 1/2 divided by 3/4 is 1 times four and 2 times 3. Therefore your answer is 6/4 which simplfies to 3/2 which breaks down into 1 1/2.

Always remember
keep, change, flip
for example-
1/2 divided by 4/9
1/2 (keep) mutiplied by (change) 9/4 (flip).
That is essentially what the others, said, but that is how I learned it, and it seemed to make a lot more since than when I learned it the other way. Hope that helps!

If you are a visual learner, then teach your brain with this technique:

Work through the calculations as described above (multiplying the original fraction by the 2nd fraction's reciprocal) and THEN make two large pies (take up a whole page of paper or half of a page doing this...or just use mspaint on your compy or something) and do this:

let's say you have 1/4 divided by 1/2. So, you take the first of the two circles/pies you made, and cut it up into four equal sections.

Now, concentrate on that one-quarter section and cut IT up in TWO equal sections. The size of one of the smallest section is the size of the pieces of pie (or pizza....or cheese....or...vutevah) for the entire thing!
So, it's like this:

1/4 / 1/2 = 1/4*2/1=2/4=1/2

Now, to check our calculations with the pie-chart method-->

The Pizza Pie has four large pieces to it. We grab a slice and put it on our plate. Then, we cut that piece which is on our plate into two sections (in half). Basically, we pretend that the quarter-section of pizza-pie-a is ONE!! So, put that # on top and the number of pieces we cut it into on the bottom!!

ONE QUARTER OF THE PIE
____________________ =1/2 <--our answer.
TWO PIECES FROM THAT


If this sounds too kiddish to you, sorry, but there are always other ways to learn.

just cross multiply. for example 1/2 divided by 3/4, you multiply 2x3 and 1x4. or just flip the second fraction and multiply.


BBD: mmmmmmmmmmmm pie

A formal explaination to the above method:
Say that you have two fractions: a/b and c/d.
We then want to solve the equation a/b / c/d.
Let's simplify a bit:
We know that any numbers (s*t)/(x*t) equals s/x. Therefor:
a/b / c/d = (a*d)/b / (c*d)/d = (a*d)/b / c/1 = (a*d)/(b*c) / c/(1*c) = (a*d)/(b*c) / 1/1 = (a*d)/(b*c)