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Multiplying fractions using area models

A few weeks ago I blogged about a few digital fraction multiplication resources for Google. In this post I want to share a multiplying fractions with visual models video.    I've been building a visual math playlist on my YouTube channel with videos for fraction multiplication and division, solving equations, ways to use algebra tiles, strategies for tackling integers, etc. I have a lot of videos planned to add-- prime numbers, even and odd, more to go along with my free math cheat sheets.... it's been a lot of fun.

In this post, I want to share a few multiplying fractions activities and resources for your classroom, along with a video showing how to multiply fractions using the area model. There's a similar video for dividing fractions here.


I've been building a visual math playlist on my YouTube channel with videos for fraction multiplication and division, solving equations, ways to use algebra tiles, strategies for tackling integers, cut paper math, hole punch math etc. This one here is a longer video for how to multiply fractions using visual models.




I got a question about the denominator, and why it's 15 in 2/3 times 4/5 when using the area model to show fraction multiplication.




If we were just multiplying 3 x 5, we'd get 15 without much thought. 




It's the same when multiplying fractions, except instead of multiplying 3 x 5, we're multiplying a fraction of 3 times a fraction of 5. So the whole area is still 15, but we end up with a fraction of it as our product.




The same is true when multiplying fractions greater than 1 (improper fractions). If we multiply 7/5 x 2/3, we're still multiplying a fraction of 5 by a fraction of 3 so the whole is still 15. One way to think of this is (5/5 + 2/5) x 2/3.
The two fractions posters above have been added to the 6th grade math word wall. I colored the posters in this image but they also come in color and in an interactive Google Slides version in the file. Fraction multiplication and division are shown with area models on the posters.


Above is puzzle #4 in a Fraction Review Digital Math Escape Room. It also comes in printable b&w, if you'd rather students work on paper. Questions cover: simplifying fractions, converting from mixed number to improper fraction, converting from fraction to decimal, adding and subtracting fractions, and multiplying and dividing fractions.


Multiplying fractions math pennants
Multiplying fractions math pennants


And here is a math pennant from a multiplying fractions math pennant activity that doubles as classroom décor when the students are finished with their work. Students show fraction multiplication through the area model, then mark down their final answers.


Browse all fraction activities here






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    1. If you have a recent email from me, the link should be at the bottom. If you don't have a recent email from me, please send me an email and I will send the link and pword. shana@scaffoldedmath.com

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