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2.3 Adding and Subtracting Fractions. How do I add/subtract fractions?

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Presentation on theme: "2.3 Adding and Subtracting Fractions. How do I add/subtract fractions?"— Presentation transcript:

1 2.3 Adding and Subtracting Fractions

2 How do I add/subtract fractions?

3 2.3 Adding and Subtracting Fractions How do I add/subtractThere are two ways fractions?

4 2.3 Adding and Subtracting Fractions How do I add/subtractThere are two ways fractions? Model

5 2.3 Adding and Subtracting Fractions How do I add/subtractThere are two ways fractions? Model Across 2/5 + 1/5 = ? Denominators the same, add across =)

6 2.3 Adding and Subtracting Fractions How do I add/subtractThere are two ways fractions? Model Across 2/5 + 1/5 = ? Denominators the same, add across =) 2 + 1 = 3 5 5 5

7 2.3 Adding and Subtracting Fractions How do I add/subtractThere are two ways fractions? Model Across 2/5 + 1/5 = ? Denominators the same, add across =) 2 + 1 = 3 5 5 5 denominator stay the same

8 Evaluate (solve):

9 17/20 - 13/20 = ?

10 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across

11 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20

12 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat)

13 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5

14 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ?

15 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ? 5/18 + 7/18 denominators same, add across

16 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ? 5/18 + 7/18 denominators same, add across 5 + 7 = 12 18 18 18

17 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ? 5/18 + 7/18 denominators same, add across 5 + 7 = 12 18 18 18 12/18 simplify (pull out the copy cat)

18 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ? 5/18 + 7/18 denominators same, add across 5 + 7 = 12 18 18 18 12/18 simplify (pull out the copy cat) 12/18 ÷ 2/2 = 6/9 simplify (pull out the copy cat)

19 Evaluate (solve):17/20 - 13/20 = ? 17/20 - 13/20 denominators same, subtract across 17 - 13 = 4 20 20 20 4/20 simplify (pull out the copy cat) 4/20 ÷ 4/4 = 1/5 5/18 + 7/18 = ? 5/18 + 7/18 denominators same, add across 5 + 7 = 12 18 18 18 12/18 simplify (pull out the copy cat) 12/18 ÷ 2/2 = 6/9 simplify (pull out the copy cat) 6/9 ÷ 3/3 = 2/3

20 -11/13 + 8/13 = ?

21 -11/13 + 8/13 denominators same, add across

22 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13

23 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13

24 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction?

25 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction? Add or subtract the whole number first then fraction

26 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction? Add or subtract the whole number first then fraction -5 6/7 + 3 2/7 = ?

27 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction? Add or subtract the whole number first then fraction -5 6/7 + 3 2/7 = ? Take the sign of the bigger-5 + 3= -2 Different signs take the Difference number

28 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction? Add or subtract the whole number first then fraction -5 6/7 + 3 2/7 = ? Take the sign of the bigger-5 + 3= -2 Different signs take the Difference number-6 + 2 = - 4 Different signs take the Difference 7 7 7

29 -11/13 + 8/13 = ? -11/13 + 8/13 denominators same, add across Which number is bigger the 11 or 8? 11 -11 + 8 = - 3 Different signs take the Difference Take the sign in front of the bigger number 13 13 13 -3/13 What if there is a whole number in front of the fraction? Add or subtract the whole number first then fraction -5 6/7 + 3 2/7 = ? Take the sign of the bigger-5 + 3= -2 Different signs take the Difference number-6 + 2 = - 4 Different signs take the Difference 7 7 7 -2 4/7

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