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# Part:whole ratios

CCSS.Math:

## Video transcript

let's think about another scenario involving ratios in this case let's think about the ratio of the number of apples number of apples to sifting the ratio of the number of apples to the number of oranges let's take the number of apples to the number of fruit the number of fruit that we have over here and I encourage you to pause the video and think about that on your own well how many total apples do we have we have 2 4 6 8 apples so we're going to have 8 apples and then how much total fruit do we have well we have 8 apples and we have 3 6 9 12 oranges so our total fruit is 8 plus 12 we have 20 pieces of fruit so this ratio is going to be 8 to 8 to 20 or if we want to write this in a more reduced form we can divide both of these by 4 4 is their greatest common divisor and so this is the same thing as a ratio 8 divided by 4 is 2 and 20 divided by 4 is 5 so 2 to 5 now does this make sense well if we divide if we divide everything into groups of 4 so or if we draw it into 4 groups I should say so one group 2 groups 3 groups and 4 groups and that's the largest number of groups that we can divide these into so that we don't have to cut up the apples or the oranges we see that in each group for every two apples we have one two three four five pieces of fruit for every two apples we have five pieces of fruit and this is actually a good opportunity for us to introduce another another way of representing another way of representing ratios and that's using fraction notation so we could also represent this ratio as 2 over 5 as the fraction 2 over 5 whenever we put it in the fraction it's very important to recognize what this rep this is telling us the fraction of fruit that are apples so we could say two fifths of the fruit of the fruit of the number of fruit I guess I could save a number of fruit of fruit is equal to the number of apples right let me see it's a two-fifths of fruit if we're just peeking in more typical terms two-fifths of fruit our apples are our apples so once again this is introducing another way of representing ratios we could say that the ratio of apples to fruit once again it could be two to five like that it could be two instead of putting this little colon there we could literally write out the word to two to five or we could say it's two-fifths the fraction 2/5 which is which would all sometimes be read as 2 to 5 this is also when it's written this way you could also read that as a ratio depending on the context in a sentence like this I would read this as two fifths of the fruit are apples