Adding Fractions with Unlike Denominators - Part 1 (Fraction Addition)
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- เผยแพร่เมื่อ 23 พ.ย. 2024
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Twitter: / jasongibsonmath
In this lesson, we will learn the very important skill of adding fractions. In this case, we will add fractions that have unlike denominators, which means that the bottom numbers of the fractions are not the same. In order to add fractions, the denominator of both fractions must equal the same number. In these problems, the first step is to change the fractions by multiplying the numerator and denominator by the same number with the goal of expressing both fractions in terms of the same denominator. Then, we add the fractions as usual and simplify the result. Here we use fraction models to understand what it means to find a common denominator and to fully understand what it means to add fractions together.
![Adding Fraction & Mixed Numbers w/ Common Denominators - Part 1 - [23]](http://i.ytimg.com/vi/ZLtb2O24lyY/mqdefault.jpg)
![Adding Fraction & Mixed Numbers w/ Common Denominators - Part 1 - [23]](/img/tr.png)
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*note: 6/9 is odd and even, but can still be simplified to 2/3. So when it is said that you can not simplify any further because one number is odd and the other is even, that might be a little confusing!
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Wonderful amazing great video!!! I was very disappointed because I did not think in your first explanation what the problem, when converted, would look like in tenths! I thought I was going to have to visualize and conceptualize the changed fractions myself!!! AND, I really, really wanted to see what was really going on after you converted the original fraction! BUT, you HAVE Shown what really happens after you change the denominators (to all tenths)! SO, a BIG, THANK YOU, from me to you!!! And, it's actually more of a reason than what they look like.
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I noticed that the common denominator is usually the larger denominator of the two fractions within the problem. And multiplying the smaller denominator of the two fractions by a number that makes it equivalent to the larger denominator to find the common, add, then simplify.
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Hi
You can also do it by finding the LCM of the denominators.
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Very good explanation
I want LCM addition and subtraction
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Brilliant , simple explanations
why we use 2x2 and 4x2 to make 4 by 8 in simplest form why we don't use 1+1+1+1 by 1+1+1+1+1+1+1+1 and cut similar one to make 4 by 8 in simplest form
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I think LCM and LCD are the same except that LCM is more generally used and LCD is used with fractions, while adding fractions.
Kids would have enjoyed your lesson, adding fractions. Even the adults could if they haven't done it earlier as I did it once.
A story is to motivate
A lesson is to teach
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Time is to test.
Thank you!
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@@mathsandsciencechannel I think of some shortcut methods to find LCD:
1. If the denominators of fractions are primes,just multiply them to get LCD.
2. If one denominator is divisible by another evenly,then dividend is the LCD.
3. List some multiples of larger denominator,divide those by another,the first multiple that divides enenly is the LCD.
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10/10
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Sir what would be the answer of 2/8 + 2/9 ? The denominators are even and odd they haven't same multiples .. please sir
Make a denominator to 72. Multiply by 9 to 2/8 and multiply by 8 to 2/9 so 18/72+ 16/72=34/72
Thanks
17/36
Thanks for teaching because ihave a math competition tomorrow
1/2 +1/4
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How did you get the 2 in the fraction
1/3X2/2=2/6
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2/12 + 1/6
1/2x2/2=2/4
after all these years, I'm 38 years old and now I understand this
1/4+2/4=3/4
3/100+20/100=23/100
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6/10x10/10=60/100
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33/100
Nice
67/100
1/10x10/10=10/100
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21/100
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Thanks!
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2/10x10/10=20/100
The 5/6 looks like Pac-Man
3/5x2/2=6/10
im early
Good content. Thanks for subscribing
5/6
Why multiple it by two where is two come from
1/6+2/6=3/6=1/2
6/10 + 7/100
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me in grade 3rd
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4/8
Math and Science
if i add fraction and i don't simplify the sum fraction will my answer be correct ???
for example:
1/4 + 1/4 = 2/4
Yes, it is correct in that it gives the correct addition of the fractions. However, you will probably get points taken off for not simplifying to lowest terms. So, it is mathematically correct but we always want to simplify when we can.
I guess he 's right
1/2