Indian 3/4 4/4 5/4 6/4 7/4 Tabla Loops

1. Indian 3/4 4/4 5/4 6/4 7/4 Tabla Loops 2

Let's see if we can figureout with 3/4 minus 5/8 is. And we have 3/4 depicted right over here. You could view this entire bar as a whole, and we see that it is divided into four equal sections, and that three of them are shaded in. So those three that are shaded in, those represent 3/4 of the whole. So you see that right over there, and then this bar downhere, you could view this as another whole. This is another whole right over here and you could see this dividedinto eight equal pieces, and five of them are shaded in.

So that represents,that represents the 5/8. So we want to have 3/4,this green shaded area, and we want to take away the 5/8.

So how could we do it? And even when you look at it visually, it might jump out at you. Whenever we add or subtract fractions, we like to think in terms ofhaving the same denominator. Are we going to deal infourths or eighths or 16s, or whatever else? So let's think about havinga common denominator. And a good common denominator is going to be a commonmultiple of the two denominators right over here, and ideallytheir least common multiple.

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And one way that I like to tackle that, there's many ways to do it, is look at the largerof the two denominators, look at eight, and then keeplooking at increasing multiples of eight until you find onethat's also divisible by four, perfectly divisible by four. But with eight, you immediately say, 'Well, eight is divisible by four,' and that's clearlydivisible by itself as well, so eight is actually theleast common multiple of four and eight. So you can rewrite both of these, both of these fractionsas something over eight. So the 3/4, you can writeit as something over eight, and then subtracting from that, the 5/8, if you want to writethat as something over eight, well, that's just going to be 5/8. And then you can figureout your actual answer. So how can we rewrite 3/4to something over eight?

Indian 3/4 4/4 5/4 6/4 7/4 Tabla Loops 2

Well, there's a couple ofways to think about doing it. One way, look. I had four in the denominator, now I'm going to have twiceas many equal sections.

I'm multiplied by two,so I'm going to have twice as many of thesections actually shaded in. So times two, 3/4 isthe same thing as 6/8. And we can also see that visually. If we're going to have twiceas many equal sections, here we have everything in fourths, but I'm going to divide,I'm going to turn this into twice as many equalsections so I have eighths.

So let's do that. So you have this right here.

Let me divide that. Let me divide that. Let me divide that, andthen let me divide that, and now I went from fourths to eights. I have one, two, three, four, five, six, seven, eight equal sections, and we see that six of them are shaded in, that 3/4 is the same thing as 6/8. But regardless, now we can subtract. We have 6/8 and we want totake away five of the eighths. So we have 6/8, and we want to take away one, two, three, four, five of them, and those five of themcorrespond to these purple five right over here.

We're taking away one,two, three, four, five. We're taking these away. So if you're just looking at the green, we started with 6/8, we're taking away one, two, three, four, five of them, and you can see thatcorresponds to the 5/8 down here and what are you left with? Well, you're just going to be left with, you're just going to be leftwith this 1/8 right over there. So it's just going to be 1/8. And you could see thatnumerically up here. If I have six of something,in this case it's 6/8, and I want to subtractfive of that something, in this case 5/8, I'm going to be left with oneof that something, or 1/8.