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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