subtracting-mixed-numbers-regrouping-vs-converting-to-improper-fraction

In this video you will learn to methods for subtracting mixed numbers.

Method one is grouping and the second method is converting the mixed number to an improper fraction and then subtracting

Transcript

Welcome to MooMooMath where upload a new Math video everyday. In this video I would like to show to methods of subtracting mixed fractions, and that way you can tell which one you think may be the easiest. Lets go ahead and begin. We have the mixed fraction 31/4 - 2 3/4

The first technique is subtraction by regrouping. 1/4 is smaller than 3/4 so you have to borrow 1 from the 3 and I will rewrite and the way you will borrow a one is not 1/1 but go 4/4 and now you can add the 1 +4 =5 and the bottom is 4

Lets rewrite this the 3 1/4 becomes 2 and 5/4 -2 3/4 and you have common denominators so just subtract 5 -3 is 2 and the denominator remains the same and 2-2 =0 so you are left with 2/4 which can be simplified to 1/2 Now if I want to do the same fraction by converting to a improper fraction I multiply 4 x 3 +1 =12 over 4 and 4 x 2 =8 +3 =11 /4 I now just subtract. I see a mistake 4 X 3 + + 1 = 13 Now we have 13/4 -11/4 which equals 2/4 and simplify that to 1/2

So depending on what you think will be the easiest chose the method you like.

Lets look at the next one. 5 1/8 - 2 3/8 1/8 is smaller than 3/8 so I will borrow one from the 5. I will rewrite it as 8/8 , so the 5 becomes a 4 and 1 + 8 = 4 and 9/8

Now we have common denominator and 9-3 = 6 over 8,

and 4-2 =2 and I can reduce 6/8 to 2 and 3/4

Now lets do the same fractions, but we will convert to a improper fraction. 8 x 5 = 40 + 1 = 41 over 8, and 8 x 2 = 16 + 3 = 19/8 I then can subtract the fractions 41-19 = 22/8

I now will convert it to a mixed fraction by dividing 22 by 8.

8 goes into 22 2 times. 22 -16 = 6 /8 which equals to 2 6/8 which you can reduce to 2 3/4

Two different methods of subtracting mixed fractions. Regrouping and converting to an improper fraction.

You decide.

MooMoomath uploads a new Math video everyday.

You may also enjoy..

Subtract mixed number with regrouping

https://www.youtube.com/watch?v=anyY8lGamJI

How to Add or Subtract Mixed Numbers

https://www.youtube.com/watch?v=J8kjXfD4xas

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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"

https://www.youtube.com/watch?v=f3bsg8gaSbw

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

https://www.youtube.com/playlist?list=PLurjkZV1ykGa0cb4iAUs2FZLS-ClkRHmq

Tagged under: mixed number,subtracting,fractions,math,regrouping,convert improper fraction,moomoomath,mixed,numbers,subtract,learn, ,subtracting fractions,fraction

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