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anonymous
 5 years ago
How do you solve? 3 1/3  2 2/5=
anonymous
 5 years ago
How do you solve? 3 1/3  2 2/5=

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sandra
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm, well, first you have to convert into some common denominator

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so first, let's convert the mixed numbers into straight fractions

sandra
 5 years ago
Best ResponseYou've already chosen the best response.03 1/3 = 9/3 + 1/3 = 10/3

sandra
 5 years ago
Best ResponseYou've already chosen the best response.02 2/5 = 10/5 + 2/5 = 12/5

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so now we need a common denominator for 3 and 5

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 10/3  12/5 = 10*5/3*5  12*3/5*3 = 50/15  36/15 = 14/15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait im still at 12/5 that still needs to be simplefied correct?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, 12/5 can't be simplified, since they have no common divisor (a number that divides evenly into them besides one)

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the point is, you can multiply anything by 1 and get an equivalent number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so if you have 10/3 and 12/5 , then to easily subtract one from the other you need to same number on the bottom for both fractions

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the easiest way to do that is to find a common denominator  but that only works because you can multiply any number by 1 and you know you have the same number  but maybe in a different form (fraction)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry im slow.. so im going to back up a little.. so now we have 9/3  12/5 and we are finding common denomiator for 3 & 5 correct?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 10/3  I can multiply this by 1/1, 2/2, 3/3, 4/4, 5/5 etc... and it will be the same number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0yes you're right, but 10/3

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0your thought process at this point should be  "what do both 3 and 5 divide evenly into  since then i can just multiply to get that number at the bottom"

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so really you're looking at 3 and 5

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0what number do they commonly divide into?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the answer is 15  and that's always a sure method to get a common denominator  just multiply them by each other

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok and the next part is what gets me so we find their common denomitator what do we do witht the top numbers?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so now your thought process should be  ok  so I they both divide evenly into 15  what version of "1" can I multiply both fractions by to get 15? since again  I know if I multiple *any* number by "1", it's equivalent  so it's really just another way to write the same number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so for 3  I know I multiply it by 5 to get 15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so I multiple 10/4 x 5/5 (again, multiplying by 1 means I get the same thing, different way of writing it)

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 10/3 x 5/5 = 10x5/3x5 = 50/15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I get what your saying but im confused... wich doesnt take much :(

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0now the second fraction, how do I turn 12/5 into (some number)/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, I can multiply the bottom by 3 to get 15 (the common denominator)  but to keep the make the top number equal I need to multiply the top by the same number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 12/5 = 12/5 * 3/3 (1) = 12*3/5*3 = 36/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and once you have everything with the same common denominator, you can subtract across

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 50/15  36/15 = 5036/15 = 14/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0but let's practice common denominators

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so let's say 2/3 and 3/6 are your fractions

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0what number do both 3 and 6 divide evenly into?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0common denominator would be 6? sorry 3

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0nope you were right the first time

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0since 6/3 = 3, and 6/6 = 1

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok so now you want to think  how can I make the bottom number a six for both of them?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and the main thing to learn, is that you can multipel *anything* by 1 and get the same number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0i.e. 1x1 = 1, 2x1=2, 3x1 = 3

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0but that works with fractions too

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so for 2/3, if I want to make the bottom number a six, I know I multiply it by 2 

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so to CONVERT 2/3, to ?/6, I just multiply by 2/2  since it's another way of writing 1 (x/x always equals 1)

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 2/3 = 2/3 * 2/2 = 4/6

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0great =) . so now convert 4/8 to ?/16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0your first thought should be  what do I multiply 8 by to get 16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0exactly =). so now you can multiply 4/8 x 2/2 (since again, you're just multplying by "1" when you multiply by 2/20  and get the equivalent fraction with 16 on the bottom

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 4/8 *2/2 = 4*2/8*2 = 8/16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and check this out  you could get an infinite number of equivalent fractions by just multiplying by different forms of 1

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 2/3 = 2/3 * 1/1 = 2/3 (duh) 2/3 = 2/3*2/2 = 4/6 2/3 = 2/3*3/3 = 6/9 2/3 = 2/3*4/4 = 8/12 etc...

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0those are all equivalent fractions  i.e. 2/3 = 4/6 = 6/9 = 8/12

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and that's all a common denominator wants you to to

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so earlier we just choose 2/2 becuase that was the common denominator?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, we chose 2/2 because we knew it would get us an equivalent fraction  the same exact value

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0when finding a common denominator, you choose the bottom number so that it makes the same thing the other fraction can make if it's multiplied by some number

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, I can multiply the bottom number of the first one by something to get 15, and I can multiply the bottom of the second number by something to also make it 15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.015 is my common denominator

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0your so patient with me...

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and to convert 3/5 to ?/15, I know I multiply the bottom by 3, so I know I have to muitiply the top by 3 too  since that guarantees me I get the same number, but just "over" 15 instead of "over" 5

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 3/5 = 3/5 *3/3 (3/3 is just "1") = (3*3)/(5*3) = 9/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and it's ok =) fractions are HARD until you understand them

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the whole point again is  you can freely convert fractions to different forms as long as you multiply by 1

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0but let's do a couple more

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so let's say I want you to convert 1/4 into ?/16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0what is 1/4 if you make it ?/16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so your first thought should be, what do I need to to multiply 4 by to get 16  since those are the two bottom numbers?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0yep =) now put it into your calculator to check

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0nope, you were right, 4/16

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, they are both right lol

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0the thing with fractions, is you can also divide the top and the bottom by the same number and get the same thing

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 4/16 = (4/4)/ (16/4) = 1/4 !

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0didnt see that at all...i just simplefied

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and you can go the other way too =)

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0e.g. you can get all of the equivalent fractions starting at 1/4, by multiplying by different forms of 1

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 1/4 = 1/4 x 1/1 = 1/4 (duh) 1/4 = 1/4 x 2/2 = 2/8 1/4 = 1/4 x 3/3 = 3/13 1/4 = 1/4 x 4/4 = 4/16 1/4 = 1/4 x 5/5 = 5/20 etc...

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and yep, 4/16 is on that list

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok so, let's do 5/6 = ?/18

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and don't be afraid to use your calc to check , especially while you're learning

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0if you type in 15/18 and 5/6, I guarantee it's the same decimal

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok so now is the biggest leap  make 3/5 and 2/3 so that they have the same number on the bottom

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so im finding commond denominator for 5 and 3 correct?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0your first thought should be, what number can I make both of the bottom numbers (5 and 3 ) into by multiplying

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and the next number, 2/3 = ?/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0yep =) . so what's 2/3  3/5 ?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0nope  so you just converted both of those numbers to ?/15

sandra
 5 years ago
Best ResponseYou've already chosen the best response.02/3  3/5 = 10/15  9/15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait so you can change the order around?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well  I was giving you the order by telling you 2/3  3/5

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0first you want to find the common denominator  which you found

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0and then once you've converted each fraction to the same common denominator, you want to subtract across

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so if 2/3 = 10/15 and 3/5 = 9/15 then 2/3  3/5 = 10/15  9/15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0negatives are possible in fractions?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0mhmmm, are negatives possible in decimals?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0a fraction is just a different way of representing the same number

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0duh! i forget they convert to decimals

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok now letting you go yet =) 1. 2/4 + 4/8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0same time tomorrow for fractions with whole numbers?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok i can do one more..

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so again  you want the same bottom number for both fractions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait ... is that a whole number that you already aded is that problem #1 lol...

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0well, I'm asking you plainly, and you were on the right track  what's 2/4 + 4/8?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i love it that you are patient!!

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0it's no problem, I had many patient teachers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks so much.. gotta go to bed now.. same time tomorrow?? :)

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0sure I'll be around! good work =) I'm happy you fought through it. you'll get it. the first understanding is always the toughest
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