Subtracting Fractions with regrouping Woo hoo!

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

How to change a mixed number to an improper fraction 1 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

Change this mixed number to an improper fraction 2 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

Change this mixed number to an improper fraction 2 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

Change this mixed number to an improper fraction 3 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

Change this mixed number to an improper fraction 3 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

Excellent!!!! Let’s keep moving…….

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 = =

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

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

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.

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 =

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

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