2 25 Adding Subtracting Mixed Numbers

Dec 12, 2009Download as PPTX, PDF1 like1,011 views

This document provides guidance on adding and subtracting mixed numbers. It begins with reviewing how to add and subtract fractions with the same or different denominators. It then works through 4 example problems step-by-step, showing how to rename mixed numbers if needed so the fractions have a common denominator before adding or subtracting. The key steps are to rename any mixed numbers, find a common denominator for the fractions, then add or subtract the whole numbers and fractions.

Adding & Subtracting Mixed Numbers12/10/09EQ: How do I add or subtract mixed numbers?12/9/20091Bitsy Griffin Lessons 2-24 & 25

$Review:How do you add fractions with the same denominator?12/9/20092Bitsy Griffin Lessons 2-24 & 25$

$Review:How do you add fractions with the different denominators?12/9/20093Bitsy Griffin Lessons 2-24 & 25$

$Review:How do you simplify a fraction?12/9/20094Bitsy Griffin Lessons 2-24 & 25$

$Suggestions:Estimate approximate answer+ / - fractions.Denominators unlike?12/9/20095Bitsy Griffin Lessons 2-24 & 25$

$Suggestions:Simplify the fraction.you may end up with a fraction > 1In subtraction, you may have to rename!12/9/20096Bitsy Griffin Lessons 2-24 & 25$

$Suggestions:+ / - whole numbersAdd any whole #s from fraction to #12/9/20097Bitsy Griffin Lessons 2-24 & 25$

Problem 1:3 2/3 + 5 1/6 =Answer is close to?912/9/20098Bitsy Griffin Lessons 2-24 & 25

Problem 1:3 2/3 + 5 1/6 =2/3 + 1/64/6 + 1/6 = 5/63 + 5 = 812/9/20099Bitsy Griffin Lessons 2-24 & 25

Problem 1:8 + 5/6 =8 5/612/9/200910Bitsy Griffin Lessons 2-24 & 25

Problem 2:2 2/3 + 1 ½ =Answer is close to?4 or 512/9/200911Bitsy Griffin Lessons 2-24 & 25

Problem 2:2 2/3 + 1 ½ =2/3 + ½ =4/6 + 3/6 = 7/67/6 = 1 1/612/9/200912Bitsy Griffin Lessons 2-24 & 25

Problem 2:2 + 1 = 33 + 1 1/6 = 4 1/612/9/200913Bitsy Griffin Lessons 2-24 & 25

Problem 3:4 ¼ - 1 2/3Answer be close to?2 or 312/9/200914Bitsy Griffin Lessons 2-24 & 25

Problem 3:4 ¼ - 1 2/3Answer be close to?2 or 312/9/200915Bitsy Griffin Lessons 2-24 & 25

Renaming practice:8 ¼ = 7 + 4/4 + ¼ 7 5/412/9/200916Bitsy Griffin Lessons 2-24 & 25

Renaming practice:6 2/3 = 5 + 3/3 + 2/35 5/312/9/200917Bitsy Griffin Lessons 2-24 & 25

Problem 3:4 ¼ - 1 2/3¼ - 2/33/12 – 8/12Oops! What can we do?12/9/200918Bitsy Griffin Lessons 2-24 & 25

Problem 3:Rename the first mixed number to 3 + 12/12 + 3/123 15/12 – 1 8/122 7/1212/9/200919Bitsy Griffin Lessons 2-24 & 25

Problem 3:Rename the first mixed number to 3 + 12/12 + 3/123 15/12 – 1 8/122 7/1212/9/200920Bitsy Griffin Lessons 2-24 & 25

Problem 4:4 ¼ - 2 1/3 3/12 – 4/12???3 12/12 + 3/12 =3 15/1212/9/200921Bitsy Griffin Lessons 2-24 & 25

Problem 4:3 15/12 - 2 4/121 11/1212/9/200922Bitsy Griffin Lessons 2-24 & 25

EQ:How do I add or subtract mixed numbers?12/9/200923Bitsy Griffin Lessons 2-24 & 25

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Adding Mixed Fractions with RegroupingDepartment of Education

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The document discusses how to add fractions with the same or unlike denominators by regrouping. It explains that adding fractions with the same denominators involves adding the whole numbers and fractions separately and then simplifying. Adding fractions with unlike denominators requires finding the least common denominator, converting the fractions so they share the LCD, adding the whole numbers and converted fractions, and then simplifying the final fraction. Examples are provided to illustrate the steps for adding mixed fractions with like and unlike denominators through regrouping.

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The document describes the steps to subtract fractions with unlike denominators: 1) Find the least common multiple (LCM) of the denominators, which is the lowest number that is a multiple of both denominators. 2) Write the fractions with equivalent fractions that have the LCM as the denominator. 3) Subtract the numerators and simplify if necessary by dividing the numerator and denominator by their greatest common factor (GCF).

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This document provides examples for adding and subtracting fractions with unlike denominators. It explains that to add fractions with different denominators, you must first find the least common denominator and convert the fractions so they have the same denominator. Then you can simply add the numerators and keep the common denominator. Subtraction follows the same process. Several word problems are worked through step-by-step as examples.

2 24 Adding & Subtracting Fractions With Unlike DenominatorsBitsy Griffin

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2 23 Adding & Subtracting Fractions With Like DenominatorsBitsy Griffin

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This document provides a lesson on adding and subtracting fractions with the same denominator. It reviews fractions, mixed numbers, and improper fractions. It then presents two word problems involving adding and subtracting fractions with the same denominator. The document demonstrates how to find the total fraction or difference by adding or subtracting the numerators, while keeping the same denominator. It concludes with examples of simplifying or reducing fractions after addition or subtraction.

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2 22 Improper Fractions Mixed NumbersBitsy Griffin

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2 25 Adding Subtracting Mixed Numbers

1. Adding & Subtracting Mixed Numbers12/10/09EQ: How do I add or subtract mixed numbers?12/9/20091Bitsy Griffin Lessons 2-24 & 25

2. Review:How do you add fractions with the same denominator?12/9/20092Bitsy Griffin Lessons 2-24 & 25

3. Review:How do you add fractions with the different denominators?12/9/20093Bitsy Griffin Lessons 2-24 & 25

4. Review:How do you simplify a fraction?12/9/20094Bitsy Griffin Lessons 2-24 & 25

5. Suggestions:Estimate approximate answer+ / - fractions.Denominators unlike?12/9/20095Bitsy Griffin Lessons 2-24 & 25

6. Suggestions:Simplify the fraction.you may end up with a fraction > 1In subtraction, you may have to rename!12/9/20096Bitsy Griffin Lessons 2-24 & 25

7. Suggestions:+ / - whole numbersAdd any whole #s from fraction to #12/9/20097Bitsy Griffin Lessons 2-24 & 25

8. Problem 1:3 2/3 + 5 1/6 =Answer is close to?912/9/20098Bitsy Griffin Lessons 2-24 & 25

9. Problem 1:3 2/3 + 5 1/6 =2/3 + 1/64/6 + 1/6 = 5/63 + 5 = 812/9/20099Bitsy Griffin Lessons 2-24 & 25

10. Problem 1:8 + 5/6 =8 5/612/9/200910Bitsy Griffin Lessons 2-24 & 25

11. Problem 2:2 2/3 + 1 ½ =Answer is close to?4 or 512/9/200911Bitsy Griffin Lessons 2-24 & 25

12. Problem 2:2 2/3 + 1 ½ =2/3 + ½ =4/6 + 3/6 = 7/67/6 = 1 1/612/9/200912Bitsy Griffin Lessons 2-24 & 25

13. Problem 2:2 + 1 = 33 + 1 1/6 = 4 1/612/9/200913Bitsy Griffin Lessons 2-24 & 25

14. Problem 3:4 ¼ - 1 2/3Answer be close to?2 or 312/9/200914Bitsy Griffin Lessons 2-24 & 25

15. Problem 3:4 ¼ - 1 2/3Answer be close to?2 or 312/9/200915Bitsy Griffin Lessons 2-24 & 25

16. Renaming practice:8 ¼ = 7 + 4/4 + ¼ 7 5/412/9/200916Bitsy Griffin Lessons 2-24 & 25

17. Renaming practice:6 2/3 = 5 + 3/3 + 2/35 5/312/9/200917Bitsy Griffin Lessons 2-24 & 25

18. Problem 3:4 ¼ - 1 2/3¼ - 2/33/12 – 8/12Oops! What can we do?12/9/200918Bitsy Griffin Lessons 2-24 & 25

19. Problem 3:Rename the first mixed number to 3 + 12/12 + 3/123 15/12 – 1 8/122 7/1212/9/200919Bitsy Griffin Lessons 2-24 & 25

20. Problem 3:Rename the first mixed number to 3 + 12/12 + 3/123 15/12 – 1 8/122 7/1212/9/200920Bitsy Griffin Lessons 2-24 & 25

21. Problem 4:4 ¼ - 2 1/3 3/12 – 4/12???3 12/12 + 3/12 =3 15/1212/9/200921Bitsy Griffin Lessons 2-24 & 25

22. Problem 4:3 15/12 - 2 4/121 11/1212/9/200922Bitsy Griffin Lessons 2-24 & 25

23. EQ:How do I add or subtract mixed numbers?12/9/200923Bitsy Griffin Lessons 2-24 & 25

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2 25 Adding Subtracting Mixed Numbers

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