How to Add Fractions with UnLike Denominators | Type 02 | MathoGuide
To add fractions with unlike denominators, find a common denominator and adjust each fraction accordingly. Once the denominators are the same, add the numerators and keep the common denominator.
When adding fractions with unlike denominators, follow these steps:
1. **Find a Common Denominator:** Identify the least common multiple (LCM) of the denominators. This will be the common denominator for both fractions.
2. **Adjust the Fractions:** Rewrite each fraction so that its denominator matches the common denominator found in step 1. To do this, multiply the numerator and denominator of each fraction by the necessary factor to make the denominators the same.
3. **Add the Numerators:** Once the denominators are equal, add the numerators together. Keep the common denominator unchanged.
4. **Simplify (if needed):** If possible, simplify the resulting fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
#fractions #addingfractions #mathoguide
To add fractions with unlike denominators, find a common denominator and adjust each fraction accordingly. Once the denominators are the same, add the numerators and keep the common denominator.
When adding fractions with unlike denominators, follow these steps:
1. **Find a Common Denominator:** Identify the least common multiple (LCM) of the denominators. This will be the common denominator for both fractions.
2. **Adjust the Fractions:** Rewrite each fraction so that its denominator matches the common denominator found in step 1. To do this, multiply the numerator and denominator of each fraction by the necessary factor to make the denominators the same.
3. **Add the Numerators:** Once the denominators are equal, add the numerators together. Keep the common denominator unchanged.
4. **Simplify (if needed):** If possible, simplify the resulting fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
#fractions #addingfractions #mathoguide
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LearningTranscript
00:00Hi guys, welcome to my youtube channel.
00:03Today we are going to discuss second type of addition of fractions.
00:08That how to add fractions of second type.
00:11First type was with like denominator, mean fractions which have same denominator.
00:18And today in second type we have the fractions with unlike or different denominator.
00:24As you know that the number above the bar is called numerator and the number below the
00:29bar is called denominator.
00:31So here as you can see that we have two fractions which are to be added.
00:36We have 2 over 3 plus 7 over 9.
00:40So here you can see that one denominator is 3 and second is 9.
00:44So we have different denominators.
00:47So let's start.
00:48Method is very simple.
00:50Simply if you want to add the fractions.
00:52As you know that whenever we have same denominators it is very easy to add them.
00:57So our first target is we have to make these denominators equal.
01:01So first of all you have to rewrite these given fractions which are to be added.
01:05So simply you have to find the smaller number.
01:08So we have here smaller number 3.
01:11And with the help of 3 we have to make it 9.
01:15Because second denominator is 9.
01:17So what number should be multiplied by 3 that we can get 9.
01:21So simply we can multiply 3 by 3 so we can get 9.
01:27So as we have multiplied denominator with 3.
01:29So we must have to multiply denominator by 3.
01:33So you have to multiply below the bar and above the bar with same number.
01:37So we will get 2 3's are 6.
01:41And now you can see that 3 3's are 9.
01:43So these denominators are equal now.
01:46And you can add them very easily.
01:49Simply you have to write a fraction.
01:51And in the denominator we have to write same denominator which are 9.
01:54So you have to write 9 below the bar.
01:57And you have to simply add 6 and 7.
01:59You can write here 6 plus 7 or you can directly add them 6 plus 7 we will get 13.
02:06So you can write here 6 plus 7 or you can add them directly 6 plus 7 is equal to 13.
02:12So you can write here 13 by 9.
02:15So then you have to check that we have to simplify this fraction or not.
02:19So here we have no common factors in these both number 13 and 9.
02:23So you have to write it as it is.
02:26So we have answer 13 by 9 when we have given fraction 2 over 3 plus 7 by 9.
02:32I hope so you got the idea that how to add fractions with different denominators simply
02:37by making them equal.
02:40Thanks for watching and don't forget to subscribe my channel.