![]() Follow these simple and engaging tips and never worry about teaching decomposing fractions again! What is Decomposing Fractions?īy now, fourth graders should have an idea of what a fraction is. To help out, we’ve compiled a list of tips on how to teach this topic to fourth graders. After all, to be able to decompose a fraction requires an understanding of what fractions are and what parts they’re composed of. Yet, it’s not infrequent that educators and homeschooling parents struggle with teaching this topic, especially in cases where children have gaps in foundational knowledge of fractions. Ways to decompose the exact same fraction.Decomposing fractions to show equivalence is one of the most interesting and fun lessons to teach in 4th grade, thanks to the many games and fun activities that math teachers can enrich their lessons with. And how would we visualize that? Well, we're saying So what could we put here? Well, we could say 0/9. Got us all the way, because 1 plus 2 plus 4 is So let's say add first 1/9Īnd see where that gets us. I'm going to try to addįour fractions here. See- actually, let me just write this out. ![]() Know, maybe we could add- let me give some space here This is 2/9 plus 3/9 timesĢ/9 is going to give me 7/9. The same denominator, we can just add the numerator. And we know that when weĪdd a bunch of fractions like this that have So notice, when I added 2/9 toģ/9 to 2/9, this equals 7/9. So what would this look like? So let's just drawīelow it, so that we can see how they match up. We can represent it as- let's do it as 2/9. But let's see if weĬan represent 7/9 as the sum of other fractions. ![]() So that's 1, 2, 3,Ĥ- you know where this is going- 5, 6, and 7. So let me get myself aīigger thing to draw with, so that I can fill this in fast. And 7/9 you could representĪs 7 of those equal sections. Of the different ways that we can represent 7/9. (Note: you could have made the problem lots easier by simplifying the fractions at the beginning into 1/3 and 1/3 and then just adding those, but that would defeat the purpose of learning how to add unlike denominators.) Now, you have two fractions with the same denominator, so you can add them as normal: The least common multiple between 9 and 6 is 18 (you can learn how to find LCMs by using the search box in the top of any Khan Academy screen, if you don't know already). With all that out of the way, let's see that example: ![]() The easiest way to convert two fractions to the same denominator is to make each denominator the least common multiple of the two previous denominators. To convert a fraction into a different denominator, you have to multiply the numerator and denominator by the same number (in order to keep the actual value the same). You would need to convert the fractions so that they have the same denominator, and then add them by adding the values in the numerators and keeping the denominator the same.
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