# OPERATIONS WITH MIXED NUMBERS. Convert the following into a mixed number 

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OPERATIONS WITH MIXED NUMBERS

Convert the following into a mixed number 

MIXED NUMBERS INTO IMPROPER FRACTIONS

Mixed Number → Improper Fraction 1. Multiply the whole number times the denominator 2. Add your answer to the numerator 3. Put that number over the denominator

Mixed Number → Improper Fraction 1. Multiply the whole number times the denominator 2. Add your answer to the numerator 3. Put that number over the denominator 5 2 2 1 2 2 1 2 x + 5 2

Convert the mixed number to an improper fraction: 9 2 1 2 4

20 3 2 3 6

Convert the mixed number to an improper fraction: 17 5 2 5 3

Convert the mixed number to an improper fraction: 19 4 3 4 4

Convert the mixed number to an improper fraction: 19 3 1 3 6

Convert the mixed number to an improper fraction: 43 5 3 5 8

Practice/Homework

Adding Mixed Numbers Find the sum. 1 4949 + 3 1919 1.Rewrite the fraction using LCD if denominators are different. 2. Add or subtract the fractions, then the whole numbers. 3. Simplify if possible. 4 5959 In this problem, the denominators are the same, so begin with step 2.

Let’s Do More Examples! Find the sum. 1 4949 3 1313 + = 9 3 X 3 4 7979 4 7878 5 1414 + = 8 2 X 2 9 9898 = 1 1818 10 1818 Add the whole numbers.

Subtracting Mixed Numbers 1 Find the Difference. 17 20 - 1 3535 = X 4 12 5 20 = 1414 3 3434 - 1 1 6 = 24 X 6 18 14 24 = X 4 4 = 7 12 10 7878 4 1818 6 8 = 3434 - 1818 2 6 2 7 12 6 3434

Now You Try! Find the sum or difference. 3 3535 + 7 9 10 4 5656 - 1 1 12 = 10 X 2 6 10 15 10 =1 5 10 = 1212 11 1212 = 12 10 9 12 3= 3 4 3 3 4

19 To Subtract Mixed Numbers with Regrouping. 5 5 - 8 1 8 3

20 To Subtract Mixed Numbers with Regrouping. 1) Regroup by borrowing one from the 5. 5 5 - 8 4 1 8 3

Copyright © 2006 by Monica Yuskaitis 21 To Subtract Mixed Numbers with Regrouping. 2) Change the 1 to 8/8. 5 5 - 8 4 1 8 8 8 3

Copyright © 2006 by Monica Yuskaitis 22 To Subtract Mixed Numbers with Regrouping. 3) Add the 1/8 plus the 8/8. 5 5 - 8 4 1 8 8 8 += 9 8 3

Copyright © 2006 by Monica Yuskaitis 23 To Subtract Mixed Numbers with Regrouping. 4) Subtract the fractions. 5 5 - 8 4 1 8 8 8 += 9 8 4 8 3

Copyright © 2006 by Monica Yuskaitis 24 To Subtract Mixed Numbers with Regrouping. 5) Subtract the whole numbers. 5 5 - 8 4 1 8 8 8 += 9 8 4 8 3 1

Copyright © 2006 by Monica Yuskaitis 25 To Subtract Mixed Numbers with Regrouping. 6) Simplify your fraction. 5 5 - 8 4 1 8 8 8 += 9 8 4 8 3 1 ÷ 4 4 = 1 2 1

Review Regrouping 

Adding and Subtracting Mixed Numbers with Regrouping  Pg 236 Questions 1-15

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