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Subtracting Fractions. with regrouping. Woo hoo!. First………let’s remember this from last year………. How to change a mixed number to an improper fraction. Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. 1. 9. +.
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Subtracting Fractions with regrouping Woo hoo!
How to change a mixed number to an improper fraction • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 1 9 + REMEMBER POPCORN.........?? 4 = x 2 2
Change this mixed number to an improper fraction • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 2 20 + 6 = x 3 3
Change this mixed number to an improper fraction • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 2 17 + 3 = x 5 5
Change this mixed number to an improper fraction • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 3 19 + 4 = x 4 4
Change this mixed number to an improper fraction • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 3 43 + 8 = x 5 5
Excellent!!!! Let’s keep moving…….
What if I’m supposed to subtract a larger fraction from a smaller fraction?________________________________ Regroup just like you would with whole numbers. + + 6 9 9 8 1 8 13 9 7 1 4 9 1 10 x x 3 8 3 7 9 - 4 - 2 3 6 9 6 8 5 5 3 4 3 3 = =
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
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 0 8 0 7 7 7 8 8 1 6 1 9 4 7 2 8 3 5 - - 3 4 6 8 2 2 3 7 3 = Then regroup as we have before! Remember to simplify if you need to.
Now, you try!!!! 6 10 8 9 2 8 1 4 7 1 4 6 12 18 30 18 = 1 = = 10 = 3 8 3 8 3 7 9 14 18 - 4 = - = 8 9 16 18 7 8 5 5 3 =
Your turn!!!! 8 14 0 6 0 9 9 9 6 6 1 9 1 15 4 9 2 6 1 6 - - 2 3 4 6 7 7 5 9 8 =
**Assignment** WS C-48 Do your best!