How To Add Fractions Calculator

voiceover:let's thinkabout another scenario involving ratios. in this case, let's think about the ratio of the number of apples. number of apples to ...

How To Add Fractions Calculator, instead of taking 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 fruitthat 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 writethis 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 and20 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 divide into 4groups, i should say. so 1 group, 2 groups,3 groups, and 4 groups. 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 eachgroup, for every 2 apples we have 1, 2, 3, 4, 5 pieces of fruit. for every 2 apples wehave 5 pieces of fruit. this is actually a good opportunity for us to introduce anotherway of representing ... another way of representingratios, 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 inthe fraction it's very important to recognizewhat this represents. this is telling us the fraction of fruit that are apples. so we could say 2/5 of the fruit ... of the fruit ...

of the number of fruit,i guess i could say. of number of fruit ... of fruit is equal to the number of apples. right, i'm just going to say 2/5 of fruit if we're just speakingin more typical terms. 2/5 of fruit are apples. are, are apples. so, once again, this is introducing another way of representing ratios.

we could say that theratio of apples to fruit, once again, it could be 2 to 5 like that. it could be 2, instead of putting this little colon there we could literally write out the word to. 2 to 5. or we could say it's2/5, the fraction 2/5, which would 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 thisi would read this as 2/5 of the fruit are apples.