1. Subtracting Fractions
with regrouping
Woo hoo!

2. First………let’s remember this from last year………

3. How to change a mixed number to an improper fraction1 9
Multiply the whole number times the denominator.
Add your answer to the numerator.
Put your new number
over the denominator. +
REMEMBER POPCORN ?? 4 = x 2 2

4. Change this mixed number to an improper fraction2 20
Multiply the whole number times the denominator.
Add your answer to the numerator.
Put your new number
over the denominator. + 6 = x 3 3

5. Change this mixed number to an improper fraction2 17
Multiply the whole number times the denominator.
Add your answer to the numerator.
Put your new number
over the denominator. + 3 = x 5 5

6. Change this mixed number to an improper fraction3 19
Multiply the whole number times the denominator.
Add your answer to the numerator.
Put your new number
over the denominator. + 4 = x 4 4

7. Change this mixed number to an improper fraction3 43
Multiply the whole number times the denominator.
Add your answer to the numerator.
Put your new number
over the denominator. + 8 = x 5 5

8. Excellent!!!!
Let’s keep moving…….

9. just like you would with whole numbers.
What if I’m supposed to subtract a larger fraction from a smaller fraction?_________ _______________________
Regroup
just like you would with whole numbers. 6 + + 9 8 9 7 1 8 13 9 1 4 9 1 10 x x 3 8 - 3 7 9 4 - 6 8 5 6 9 2 3 3 3 3 4 5 = =

10. Can you regroup with unlike denominators?
Sure, but first find the LCD and equivalent fractions. 8
x 7 2 3 21 14 35 21 1 9
x 7
Watch this! 21 5 7
x 3 15 5 -
x 3 20 21 3

11. Let’s see that again!
Remember, first find the LCD and equivalent fractions. 5
x 4 2 5 20 8 28 20 1 6
x 4 20 3 4
x 5 15 3
Watch this! -
x 5 13 20 2

12. Then regroup as we have before! Remember to simplify if you need to.
How about these!
If you have a whole number, make a fraction with 0 in the numerator and the same denominator the mixed number has. 5 8 8 8 7 7 6 1 1 9 3 2 8 4 7 - 5 - 2 6 8 2 3 4 3 3 7 =
Then regroup as we have before!
Remember to simplify if you need to.

13. Now, you try!!!! 6 2 8 10 8 9 7 1 4 1 4 6 12 18 30 18 = = 1 10 = = 3 8 3 8 - 3 7 9 14 18 4 = - = 8 9 7 8 5 16 18 5 3 =

14. Your turn!!!! 8 14 6 6 9 9 9 1 15 1 1 2 6 4 9 - 6 - 7 4 6 7 2 3 = 8 5 9

15. **Assignment**
WS C-48
Do your best!   