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 x + 5 2

Convert the mixed number to an improper fraction:

Convert the mixed number to an improper fraction:

Convert the mixed number to an improper fraction:

Convert the mixed number to an improper fraction:

Convert the mixed number to an improper fraction:

Practice/Homework

ADDING AND SUBTRACTING MIXED NUMBERS

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

Let’s Do More Examples! Find the sum = 9 3 X = 8 2 X = Add the whole numbers.

Subtracting Mixed Numbers 1 Find the Difference = X = = 24 X = X 4 4 = =

Now You Try! Find the sum or difference = 10 X = = = =

19 To Subtract Mixed Numbers with Regrouping

20 To Subtract Mixed Numbers with Regrouping. 1) Regroup by borrowing one from the

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

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

Copyright © 2006 by Monica Yuskaitis 23 To Subtract Mixed Numbers with Regrouping. 4) Subtract the fractions =

Copyright © 2006 by Monica Yuskaitis 24 To Subtract Mixed Numbers with Regrouping. 5) Subtract the whole numbers =

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

Review Regrouping 

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