anonymous
  • anonymous
How do I add fractions?
Mathematics
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anonymous
  • anonymous
How do I add fractions?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Are the denominators the same?
anonymous
  • anonymous
No.
anonymous
  • anonymous
www.webmath.com/addfract.html

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anonymous
  • anonymous
www.youtube.com/watch?v=lavgnJAkfKM
anonymous
  • anonymous
those might help
anonymous
  • anonymous
I don't like to watch videos because I never learn from them... :(
anonymous
  • anonymous
oh sorry then
Zarkon
  • Zarkon
\[\frac{a}{b}+\frac{c}{d}=\frac{a\times d+c\times b}{b\times d}\]
anonymous
  • anonymous
What @Zarkon did , is said to be use of LCM ..
anonymous
  • anonymous
If the denominator is not the same then you will have to find the most common one. then add the top numbers and keep the denominator same. Been awhile sence i done then.
anonymous
  • anonymous
|dw:1351266657384:dw|
ParthKohli
  • ParthKohli
\[{\heartsuit \over \spadesuit}+{\diamondsuit \over \clubsuit} = {\heartsuit\clubsuit + \diamondsuit \spadesuit \over \spadesuit \clubsuit}\]
anonymous
  • anonymous
LCM ---> Least common multiple just like I want to give you an example of LCM in addition of fractions : \[\large{\frac{3}{4} + \frac{4}{5} = ?}\] Now, to add these fractions , we need to take LCM of the denominators of both of the fractions... i.e. of 4 and 5 Multiples of 4 = 4,8,12,16,20,32,36,40 .... Multiples of 5 = 5,10,15,20,25,30,35,40... Common multiples = 20, 40 , ... Least common multiple = 20 So from this we get LCM of 4 and 5 is 20 Now divide 20 by 4 , you get 5, multiply 5 by the numerator of the first fraction i.e. 5 * 3 = 15 .Similarly for second fraction, divide 20 by 5, you get 4, multiply 4 by 4 = 16 \[\large{\frac{5*3 + 4*4}{20} = \frac{15+16}{20} = \frac{31}{20} }\]
ParthKohli
  • ParthKohli
Although, you can straightforwardly add the numerators if the denominators are same.
ParthKohli
  • ParthKohli
Why we use LCM is to get to a point where we can straightforwardly add the numerators.
anonymous
  • anonymous
SO what would 4/3 + 7/6 =
ParthKohli
  • ParthKohli
Get a common denominator.
anonymous
  • anonymous
Instead of LCM you can also do "common denominators" : \[\large{\frac{4}{3} + \frac{7}{6} = ? }\] Let us take 4/3 first : multiply denominators and numerators by 2 \[\large{\frac{4\times 2}{3\times 2} = \frac{8}{6}}\] So, we can also write 4/3 as : 8/6 Now let us take L: 7/6 See we have to get common denominators in both the fractions. we have one fraction as 8/6 and another one is 7/6 Their denominators are same i.e. 6 so we can just add numerators "now" : \[\large{\frac{8}{6} + \frac{7}{6} = \frac{8+7}{6} = \frac{15}{6}}\]
anonymous
  • anonymous
Note: Don't add denominators, only numerators are to be added.
anonymous
  • anonymous
@HorseCrazyGirlForever I hope you got it now, any confusion you have now?

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