Subtraction Mixed Numbers

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Presentation transcript:

Subtraction Mixed Numbers Fractions 13

Objective To be able to subtract mixed numbers with regrouping.

How to Subtract Fractions with Regrouping

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

To Subtract Mixed Numbers with Regrouping. Change the 1 to 8/8. 4 1 8 5 8 8 5 3 - 8

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

To Subtract Mixed Numbers with Regrouping. Subtract the fractions. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 8

To Subtract Mixed Numbers with Regrouping. Subtract the whole numbers. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 1 8

To Subtract Mixed Numbers with Regrouping. Simplify your fraction. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 4 1 1 ÷ = 1 8 2

Now you can do it! 2 4 7 - 7 = 6 9 9 9

Subtract. 4 Regroup by borrowing 1 from the 5. 3 5 9 7 2 - 9

Subtract. 4 Change the 1 to 9/9. 3 9 5 9 7 2 - 9

Subtract. 4 Add 3/9 + 9/9. 3 9 12 5 + = 9 9 7 2 - 9

Subtract. 4 Subtract 12/9 – 7/9. 3 9 12 5 + = 9 9 9 7 2 - 9 5 9

Subtract. 4 Subtract 4 – 2. 3 9 12 5 + = 9 9 9 7 2 - 9 5 2 9

Subtract. 5 Regroup by borrowing 1 from the 6. 1 6 5 4 1 - 5

Subtract. 5 Change the 1 to 5/5. 1 5 6 5 4 1 - 5

Subtract. 5 Add 1/5 + 5/5. 1 5 6 6 + = 5 5 5 4 1 - 5

Subtract. 5 Subtract 6/5 – 4/5. 1 5 6 6 + = 5 5 5 4 1 - 5 2 5

5 1 5 6 6 + = 5 5 5 4 1 - 5 2 4 5 Subtract. Subtract 5 – 1. Answer 4 2/5 4 5

Objective To be able to subtract mixed numbers with unlike denominators with regrouping.

How to Subtract Mixed Numbers with Regrouping

To Subtract Mixed Numbers with Regrouping. Find the LCD or LCM of the denominators. 1 5 8 8 3 3 - 4 8

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

To Subtract Mixed Numbers with Regrouping. Regroup by borrowing one from the 5. 4 1 1 = 5 8 8 3 6 3 = - 4 8

To Subtract Mixed Numbers with Regrouping. Change the 1 to 8/8. 4 1 1 8 = 5 8 8 8 3 6 3 = - 4 8

To Subtract Mixed Numbers with Regrouping. Add the 1/8 and 8/8 together. 4 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8

To Subtract Mixed Numbers with Regrouping. Subtract the fractions. 4 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8 3 8

To Subtract Mixed Numbers with Regrouping. Subtract the whole numbers. 4 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8 3 1 8

Get your white boards out! 1 7 5 - 5 = 4 3 9 9

3 5 9 9 2 2 - 3 9 Subtract. Use the short cut to find the least common denominator. 5 9 9 2 2 - 3 9

3 1 3 5 x = 9 9 2 3 6 x 2 = - 3 3 9 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

4 3 1 3 5 x = 9 1 9 2 3 6 x 2 = - 3 3 9 Subtract. Regroup by borrowing 1 from the 5. 5 x = 9 1 9 2 3 6 x 2 = - 3 3 9

4 3 3 9 5 = 9 9 9 2 6 = 2 - 3 9 Subtract. Change the 1 to a fraction with 9 as a denominator. 5 = 9 9 9 2 6 = 2 - 3 9

Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Add 3/9 + 9/9. - 3 9

4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 - 3 9 6 9 Subtract. Subtract 12/9 minus 6/9. - 3 9 6 9

4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 - 3 9 6 2 9 Subtract. Subtract 4 minus 2. - 3 9 6 2 9

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

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