subtracting-mixed-numbers

# Interactive video lesson plan for: Subtracting Mixed Numbers

#### Activity overview:

In this video you will learn how to subtract mixed numbers.
For example, 2 3/4 -1 1/2
http://www.moomoomath.com/

Transcript

Welcome to MooMooMath where we upload a new Math video everyday. In this video I would like to practice subtracting mixed fractions What I like to do is to convert the mixed fraction to a improper fraction and then subtract them. For instance, lets subtract 3 1/2 - 2 1/4 First thing I will do is to go ahead and convert the mixed fraction to an improper fraction. So I will multiply 3 x 2 = 6 plus one is 7 I like to subtract in a vertical fashion. Next, multiply 4 x 2 + 1 = 9 over 4
Now I will subtract those two fractions. Next, I will get a common denominator and it will be four. 2 will divide into 4 two times, and 2 x 7 = 14 over 4 minus 9/4. Now I can subtract the fractions. 14 - 9 = 6 =5 over 4. I can now convert this improper fraction into a mixed fraction. 4 goes into 5 one time and I have 11 left over which wil equal 1 1/4
Lets look at example 2. 3 1/16 - 2 1/2
Step 1 is to convert the mixed fractions into an improper fraction. 16 x 3 = 48 + 1 = 49 over 16 - 2 x2 =4 + 1 = 5/2
I now find a common denominator. Which is 16. 16 goes into 16 one time. 1 x 49 =49 over 16
2 will go into 16 8 times and 8 times 5 = 40 over 16
I can now subtract the fractions because they have common denominators. 49-40 = 9 over 16.
I cannot simplify this fraction further.
One last example lets go with 3 3/4 - 2 1/16
Convert into an improper fraction.
4 x 3 =12 + 3 = 15 over 4 and we will subtract that from 16 x 2 =32 + 1 = 33/16
I now need to find a common denominator, which will be 16
4 divides into 16 four times and 4 x 16 = 60.
4 into 16 =4 and 4 x 15 = 60 over 16 minus,
16 goes into 16 one time, and 33 x 1 =33. I'm let with 60 -33 which is equal to 27 over 16 because that is our common denominator. Again 60 -33 = 27 and 16 will go into 27 one time and you have 11/16 left over.
Let me show you how I converted into a mixed fraction.
16 goes into 27 one time.
16 x1 = 16 and 27-16 = 11
That is how I ended up with 11/16
Hope this helps with subtracting mixed fractions.
If you enjoyed this please share.
MooMooMath uploads a new Math video everyday.

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Learn even more about fractions with this fraction playlist that covers the basics of fractions!!

Tagged under: fractions,subtracting,mixed fractions,math,moomoomath,mixed numbers

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