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In this video I would like to work on adding more than one fraction.
In particular adding three fractions.
For instance, how would you add 1/2 + 1/3 + 3/4.
We will start with an easy one.
I line the fractions up in a vertical line.
Put 1/2 + 1/3 + 3/4 in a vertical line.
I then find a common denominator for all three fractions.
I know 12 will be the common denominator.
I know 2 will go into 12 6 times and 6 x 1 =6 so we have 6/12.
I keep them in this vertical line.
3 goes into 12 4 times and 4 x 1 = 4, and 4 goes into 12 3 times, and 3 times 9 = 9.
I next just add them up and when I add them I get 19/12
I then can convert to a mixed fraction by dividing 19 by 12 which equals 1 7/12.
Lets look at another example.
Lets add 1/2 + 3/4 + 7/8 I line them up in a vertical column, and then
I start thinking about a common denominator of 2.4.and 8.
8 will be the common denominator. 2 goes into 2 times, so we have 2/8's, oops 2 goes into
8 4 times.
Next 4 goes into 8 2 times and 2 times 3 = 6 and 8 goes into 8 1 time so that equals 7/8.
Next I add them, 4/8 + 6/8+7/8 = 17/8.
I have an improper fraction and 8 will go into 17 two times which is 16 and that leaves
2 1/8.
Let me go over how I created the mixed fraction.
17 divided by 8 equals 2 and 17 -16 =1 so it becomes 2 1/8
On this last one I have mixed fractions.
What if you have the following?
1 1/2 + 21/6 + 3 1/4 You can line them up vertically.
Lets line them up and you have, 1 1/2 + 2 1/6 + 3 1/4
Next you can add the whole numbers, and 1 + 2 + 3 = 6
and you will add the fractions.
I'm going to rewrite them 1/2 + 1/6 + 1/4
Find a common denominator, which is 12, and 2 goes into 12 6 times, 6 goes into 12 2 times,
and 4 goes into 12 3 times.
I next add them up and I get 6 + 2 + 3 = 11/12 Now I combine these two and end up with 6
11/12, and I can't simplify anymore.
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