Ways to decompose the exact same fraction. 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 Also known as a strip diagram, bar model, fraction strip. So let's say add first 1/9Īnd see where that gets us. A tape diagram is a drawing that looks like a segment of tape, used to illustrate number relationships. 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. tape diagram worksheets 4th grade Printable Arcade Button Template Tape Diagram Converting Improper Fractions To Mixed Numbers 25 Tape Diagram Worksheets. 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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