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Math 7 - Finding the Unit Rate

Added Dec 11, 2020 •

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Finding the Unit Rate is making an Equivalent Ratio where the Denominator is 1. "per" mean "over 1" or "to 1"

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finding the unit rate the unit rate is just a fraction over one a ratio over one so let's look at this right here in a bag of plain M&Ms there were six green M&M 10:30 brown M&M's what is the rate of brown M&M's / green M&M 141 / green MN so brown M&M's let's write that I don't have brown will use red Brown M&M's green M&M and it's one even though it doesn't say / means for 31 / so yes if you saw that last one my glasses are a couple examples of go a fraction times a fraction line means divided that's great but when we're talking about a unit rate it's for everyone so we got to make this into a one it's for one green M&M looking for 11 green M&M but before we do that let's just play what we got so we have Shirley of this right here 30 brown M&M so Brown Eminem So this tells us how to set it up brown M&M's / green M&M / green M&M top to bottom top purba brown M&M's to green M&Ms so brown M&M's 30 2 6 and our whole goal is to find out what is that right there one how how many brown M&M's do we have for everyone and a simple way of describing this is simply just divided what are you / you in a bit. But here's another way of looking at it we're going to divide how to 6 become 1 we divided by 6 we divide a fraction by a fraction by a some number the top buy some number we don't want to change the value we just want to change the way it looks want to change 30/6 to something over 1 and we're just changing the fraction in a set simplify but we always wanted to do a denominator of one that's a unit rate per one green M&M if you look at this we / 1 we're not changing the value of 30 over 6 we're just changing the way it look 6 / 6 that's 130 / 6 5 for every 5 brown M&M's you got one green M&M five brown M&M's / green M&M another way to find a unit rate is just looked at this this fraction means divide so all we're doing is divining 30 / 6 what's 30 / 6 so 6 goes into 30 5 * 6 * 5 is 30 and we served we get zero no remainder so this right here that is what we have is our unit you take this how do you turn 5 into a fraction how do you turn any number into a fraction you put it over one here's our number 5 how do you turn freshen put it over one cuz there's no remainder it's just 5515 brown M&M's to one green M&M let's just do another quick example let's let's just go straight for racial not all we do not always have something nice that divides evenly so let's look at this let's say we got 28 to 6 your whole goal is to make the you're one but remember this is just another way of saying 28 / 6 let's just first a if you can let's simplify it what's the by top and bottom by 2 / 214-1423 okay that doesn't get us and we got two divided by 3 then we'll get this if we divide the Bottom by 3 / 3 / 3 / 3 3 / 3 is 114 / he gets us whatever this is but look at this what's another way of reading this fraction instead of 14/3 or 14/3 14 / 3 this is pretty much you know how people explain division so turn or denominator to one that's just a bite of 14 / 3 and let's do the work right there so numerator is on the inside 3 goes in a 44 * 1 well bring this down we get it to we can't have her manners let's put a zero right there decimal place bring down this 03 goes in a 26 times and we'll get eight sings track we get to Papa keeps on repeating so keeps on going so this right here 4.6 repeating decimal this right here is what goes on top 14 / 3 will go up here that going 14 / 3 the result goes up here playlist this is 14 / 341 1666 if you want to round it off this is about four point whatever the case so this right here is this one let's just if it says round off it before .7 but if it doesn't fit just 4.6 engine goes on forever or plane XXX and we can rewrite that as four points 6 with a line over cuz that's what's repeating 4.6 repeated to one let's look at it another way let's look at some 3/4 that's 3 / 4 we want to unit rate you want to have a fraction over 100k we can / 4 / 4 but divided by 4 in the denominator we do that in the denominator we could divide the numerator by 4 but why do that that's just going to be 3 / 4 on top so it's right here so let's just write that are numerator is inside the algorithm so for doesn't go in at 3 so we got a zero let's turn this into a 34 goes into 37 times 4 times 728 we subtract we get it put another zero down for goes in a 20 5 * 4 * 5 is 20003 / 4 is .75 let's just write it down work so we divide top and bottom by 4 4 / 4 is 1/3 / 4 we just did that so just dividing your numerator and then you're with your denominator you get this so our unit rate is 0.75 to 1 unit rate is just another way of saying divided but your answer it's over one it's over one whatever your answer is it's over 1 30263 / 6 is 5 but if we're talking about items unit rate round green brown Eminem's 5 green M&Ms 15215 / 1 unit rate

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Math 7 - Finding the Unit Rate

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