Steps to Multiplying & Dividing Fractions

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You can multiply and divide fractions by following a few quick steps. Learn how to multiply and divide fractions with help from a mathematics educator in this free video clip.

Part of the Video Series: Mathematics Lessons
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Video Transcript

Hi, I'm Jimmy Chang and we're here to talk about steps to multiplying and dividing fractions. Now, just my personal opinion, multiplying and dividing fractions as such, are actually a little bit easier than adding and subtracting fractions. Let, let's talk about multiplying first and we'll go from there. Now, when it comes to multiplying fractions, let's just say you have three quarter times five halves. With multiplying fractions, all you have to do is multiply across the numerator and the denominator. You could reduce along the way if it allows it, but other than that, it's a pretty straightforward process. In this particular case, there doesn't seem to be a lot of room for reducing, so, we're just going to multiply across. Three times five, here you got fifteen and then four times two is going to give you eight. So, in this particular case, three fourths times five halves is going to be fifteen eighths. The general pattern of multiplying fractions like I mentioned before is just multiply across and you'll be good to go. Dividing is a little bit trickier, but at the end of the day it's going to be pretty straightforward as well. Suppose you have two thirds divided by seven halves. Now, the one thing to think about when it comes to dividing fractions is it's actually multiplication exercise, it just involves reciprocals. Because when you divide by seven halves, you have to take the denominator and you have to find the reciprocal or flip the fraction if you will and then go from there. So, two thirds divided by seven halves is actually another way of saying two thirds times the reciprocal of seven halves which is two sevenths, just like that. So, dividing fractions is actually another multiplication exercise, so there's a very close relationship there. What you do simply is, like we did above, multiply across; two times two is four, three times seven is twenty one. So, two thirds divided by seven halves gives you four over twenty one. So, I'm Jimmy Chang and there's a couple of demonstrations on multiplying and dividing fractions.

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