Subtraction Mixed Numbers 5th Grade Subtraction Mixed Numbers Fractions 13

Adding and Subtracting Mixed Numbers

Adding Mixed Numbers Find the sum. 4 9 1 1 9 + 3 5 9 4 Rewrite the fraction using LCD if denominators are different. 4 9 1 2. Add or subtract the whole numbers then the fractions. 1 9 + 3 3. Simplify if possible. 5 9 4 In this problem, the denominators are the same, so begin with step 2.

Let’s Do More Examples! Find the sum. 7 8 4 9 4 1 1 4 2 1 3 3 5 3 = = + + 8 9 X 2 X 3 1 8 9 8 7 9 9 = 1 4 1 8 10 Add the whole numbers.

Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Regroup by borrowing one whole from the 5. 4 1 5 8 5 3 - 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Change the whole into a fraction. in this case 1 changes into 8/8. 4 1 8 5 8 8 5 3 - 8 Copyright © 2006 by Monica Yuskaitis

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

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

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

To Subtract Mixed Numbers with Regrouping. Simplify your fraction if necessary. 4 1 8 9 + = 5 8 8 8 Don’t forget to include the whole number! 5 3 - 8 4 4 1 1 ÷ = 1 8 2 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Example 2: Subtract 4 Regroup by borrowing a whole from the 5. 3 5 9 7 2 - 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 Change the whole into a fraction in this case 9/9. 3 9 5 9 7 2 - 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 Add 3/9 + 9/9. 3 9 12 5 + = 9 9 7 2 - 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 Subtract the whole numbers 4 – 2. 3 9 12 5 + = 9 9 9 7 2 - 9 2 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 Subtract the fractions 12/9 – 7/9. 3 9 12 5 + = 9 9 9 7 2 - 9 5 2 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Find the LCD or LCM of the denominators. 1 5 8 8 3 3 - 4 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Find the equivalent fractions with 8 as a denominator. 1 x 1 1 = 5 8 x 1 8 3 x 2 6 3 - 4 x 2 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Re-write your problem. 1 5 8 6 3 - 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Regroup by borrowing one whole from the 5. 4 1 5 8 6 3 - 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Change the whole to 8/8. 4 1 8 5 8 8 6 3 - 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. Add the 1/8 and 8/8 together. 4 1 8 9 + = 5 8 8 8 6 3 - 8 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. 6) Subtract the whole numbers. 4 1 8 9 + = 5 8 8 8 6 3 - 8 1 Copyright © 2006 by Monica Yuskaitis

To Subtract Mixed Numbers with Regrouping. 7) Subtract the fractions. 4 1 8 9 + = 5 8 8 8 3 3 - 4 3 1 8 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Get white boards! Copyright © 2006 by Monica Yuskaitis

Subtract we will go through each step together! Showing our work  3 5 9 9 2 2 - 3 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. Find the equivalent fractions with 9 as a denominator. 3 1 3 5 x = 9 9 2 3 6 x 2 = - 3 3 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 1 3 Regroup by borrowing 1 from the 5. 5 x = 9 1 9 2 3 6 x 2 = - 3 3 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 Change the 1 to a fraction with 9 as a denominator. 5 = 9 9 9 2 6 = 2 - 3 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Add 3/9 + 9/9. - 3 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Subtract 4 minus 2. - 3 9 6 2 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Subtract 12/9 minus 6/9. - 3 9 6 2 9 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 Simplify your fraction. = 2 - 3 9 6 3 2 2 ÷ = 9 3 Copyright © 2006 by Monica Yuskaitis

Copyright © 2006 by Monica Yuskaitis Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 Your answer is 2 2/3. = 2 - 3 9 6 3 2 2 ÷ = 9 3 3 Copyright © 2006 by Monica Yuskaitis

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