Posted by **Kathleen** on Monday, April 23, 2007 at 9:59am.

I cannot get my brain around questions like this:

1/4 divided by 2/5 = 2/4 x ?

I have 4 problems like this and even the example doesn't make sense - I may have copied it wrong off of the board.

Can anyone help?

Thank you!

You invert the second fraction and then just multiply.

1/4 divided by 2/5 = 1/4 multiplied by 5/2

What do you get?

??

(Broken Link Removed)

Click on Dividing Fractions and then on the first link in that section.

=)

OK - I GOT 10/8THS OR REDUCED I GET 1 1/4. IS THAT RIGHT?

NOW I JUST WANT TO LEARN WHY I INVERT THE 2ND FRACTION.

THANK YOU SO MUCH!

There are really only two basic operations in arithmetic, addition and multiplication.

subtraction is just the inverse operation of addition.

e.g. 12 + 5=17

17 - 5 = 17 + (-5)=12

so to subtract we simply add the opposite

likewise, division is the inverse operation to multiplication

eg. 12 x 4 = 48

and 48 ÷ 4 = 12

but 48 x 1/4 = 12

take 1/4 of $48 and you would get $12

divide $48 by 4 and you would get $12

**I wrote:**
You invert the second fraction and then just multiply.

1/4 divided by 2/5 = 1/4 multiplied by 5/2

What do you get?

??

**You wrote:**
OK - I GOT 10/8THS OR REDUCED I GET 1 1/4. IS THAT RIGHT?

**How did you get 10/8?
**

1/4 divided by 2/5 = 1/4 multiplied by 5/2

When you multiply 1 x 5, you should get 5.

When you multiply 4 x 2, you should get 8.

5/8 is the answer.

=)

12

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