anonymous
  • anonymous
can someone explain to me how to add 5/20 and 6/15 I don't understand lowest common denominators?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
A really easy way to do this (although not the most efficient) is to just start listing all the multiples of the denominators:
julie
  • julie
Yeah, basically you can't add two fractions unless they have the same denominator.
anonymous
  • anonymous
the denoms are 20 and 15, so list the multiples: 15: 15, 30, 45, 60, 75 ... 20: 20, 40, 60, 80 ...

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anonymous
  • anonymous
here you can move from left to right until you find one that's in both lists :)
anonymous
  • anonymous
hmmm, ok, so how would I add them?
julie
  • julie
misterf nailed it :)
julie
  • julie
Ok so once you find the common denominator -- above, we see that it would be 60.
siddharth
  • siddharth
Well, to add or subtract fractions, you have to make sure the bottom numbers on both fractions are the same. So, the best way to add two fractions with different denominators is to find the Lowest Common Multiple, and change the fractions to that form to perform the addition.
julie
  • julie
Then you find how you make the denominators of both the same as that common one. So 15 * 4 = 60 and 20 * 3 = 60.
julie
  • julie
Then you multiply the numerator, too: 6 * 4 = 24 15 * 4 = 60 and 5 * 3 = 15 20 * 3 = 60
anonymous
  • anonymous
\[\frac{5}{20} = \frac{15}{60}\] \[\frac{6}{15} = \frac{24}{60}\] then add them normally: \[\frac{15}{60} + \frac{24}{60} = \frac{39}{60}\] does this make sense?
julie
  • julie
Haha misterf beat me to it :)
anonymous
  • anonymous
please gimme a medal if i helped i am collecting them :p
julie
  • julie
When you add two fractions and they have the same denominator, the denominator stays the same and you just add the numerators.
julie
  • julie
Gave it! :)
siddharth
  • siddharth
Misterf explained it really nicely. Let us know if you don't understand something, albertw. I gave you a medal as well, misterf :)
anonymous
  • anonymous
yay!!

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