Addition of Fractions | Maths for Kids | Grade 5 | Periwinkle - Free Educational videos for Students in K-12 | Lumos Learning

Addition of Fractions | Maths for Kids | Grade 5 | Periwinkle - Free Educational videos for Students in k-12


Addition of Fractions | Maths for Kids | Grade 5 | Periwinkle - By Periwinkle



Transcript
00:09 addition of fractions . Good morning kids Today let us
00:16 learn addition of different types of fractions . One addition
00:24 of like fractions , find the sum of the given
00:29 fractions . Since these are like fractions , we simply
00:35 add the numerator that are one , four and two
00:41 and write the common denominator nine as it is ,
00:46 Which gives us the answer seven upon 9 . Next
00:52 is two . Addition of mixed numbers with the same
00:58 denominators , find the sum of the given mixed numbers
01:04 . We can use two methods to add mixed numbers
01:08 with the same denominators method one here we add the
01:15 whole numbers and like fractions separately and then add their
01:21 sums . Thus we get eight plus three plus two
01:28 plus four upon nine plus four upon nine plus two
01:34 upon nine , Which is equal to 13 plus 10
01:40 upon nine . Further simplifying the improper fraction 10 upon
01:46 nine , we get 13 plus one plus one upon
01:52 nine Is equal to 14 plus one upon 9 .
01:59 Thus we get the answer as 14 and one upon
02:04 9 . Alternatively , in Method two convert the mixed
02:12 numbers to improper fractions and add the fractions . Then
02:17 convert the sum to a mixed number On converting to
02:21 improper fractions . We get 76 upon nine plus 31
02:29 upon nine plus 20 upon nine is equal to 76
02:35 plus 31 plus 20 . Hall upon nine Is equal
02:42 to 127 upon nine . Finally , we converted to
02:49 a mixed number and get the answer as 14 and
02:54 one upon 9 . Now let us learn to add
03:00 unlike fractions , look at the given . Unlike fractions
03:05 , Step one Find the LCM of the denominators of
03:10 the given fractions Here . The LCM of 4 ,
03:16 2 and 12 is 12 . Step two , convert
03:22 the fractions to their respective equivalent fractions with the L
03:26 c M as the denominator , and then add step
03:33 three reduced to the lowest terms if possible . Step
03:40 four convert to mixed fraction . Thus we get the
03:45 answer as one and 2 upon three . Coming to
03:52 the next type addition of mixed numbers with different denominators
03:59 , find the sum of the given mixed numbers .
04:03 Step one , convert the mixed numbers to improper fractions
04:09 . On converting we get the improper fractions 23 upon
04:15 10 plus 61 upon 20 plus 47 upon 40 .
04:23 Step two convert to like fractions Using the L C
04:28 M method Here , the LCM of 10 , 20
04:34 and 40 is 40 . Now with 40 as the
04:40 denominator we get the respective equivalent fractions . Step three
04:48 add the like fractions . Step four reduced to the
04:55 lowest terms and convert to a mixed number . Thus
04:59 we get the answer as six and 21 upon 40
05:07 . And lastly five addition of fractions and mixed numbers
05:13 . We can add mixed numbers and fractions by changing
05:18 the mixed numbers to improper fractions and then adding them
05:23 . Using one of the methods explained earlier , add
05:28 the given fractions firstly , we convert the mixed numbers
05:35 to improper fractions . We get the unlike fractions 25
05:41 upon eight , three upon 4 and 17 upon 12
05:48 Here , the LCM of eight four and 12 is
05:53 24 , Convert the fractions to their respective equivalent fractions
05:59 with the LCM 24 as the denominator now add the
06:07 like fractions . Lastly reduced the sum to its lowest
06:12 terms if possible , and convert to a mixed number
06:18 . Thus we get the answer . five and 7
06:22 upon 24 kids try solving a few problems on your
06:27 own so that it becomes easy for you to understand
06:30 too .
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