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Adding, subtracting, multiplying, and dividing fractions

Adding, subtracting, multiplying, and dividing fractions. Amie Schneider Teacher page. Adding Fractions-. Step 1- Make sure both the fractions have a common denominator. Example- 1/3 + 1/6 = ? ^Not the same^ Find a common denominator Multiply 1/3 by 2 on the top and bottom

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Adding, subtracting, multiplying, and dividing fractions

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  1. Adding, subtracting, multiplying, and dividing fractions Amie Schneider Teacher page

  2. Adding Fractions- • Step 1- • Make sure both the fractions have a common denominator. • Example- 1/3 + 1/6 = ? • ^Not the same^ • Find a common denominator • Multiply 1/3 by 2 on the top and bottom • (2)(1) = 2 (2)(3) = 6 • New fraction = 2/6

  3. Adding Fractions- • Step 2- • Now having common denominators we can add the fractions • Only add the numerators (top) • 2/6 + 1/6 = • 2 + 1 = 3 • Denominator remains 6 • Answer 3/6

  4. Adding Fractions- • Step 3- • If possible simplify your answer • Does 3/6 equal something else? • Find the greatest common factor • 3/6 = 1/2 because the GCF was 3 • 3 ÷ 3 = 1 and 6 ÷ 3 = 2 =

  5. Subtracting Fractions- • Step 1- • Make sure the denominator are the same • Example- 1/2 - 1/10 = ? • ^Not the same^ • Find a common denominator • Multiply 1/2 by 5 • (1)(5) = 5 (2)(5) = 10 • New fraction = 5/10

  6. Subtracting Fractions- • Step 2- • Now that we have common denominators we can subtract! • Only subtract the numerators. • Example- 5/10 – 1/10 = ? • 5 – 1 = 4 • Denominator remains 10 • Answer – 4/10

  7. Subtracting Fractions- • Step 3- • If possible simplify your answer. • Does 4/10 equal something else? • Find the greatest common factor • 4/10 = 2/5 because the GCF is 2 • 4 ÷ 2 = 2 and 10 ÷ 2 = 5

  8. Multiplying Fractions- • Step 1- • Multiply the numerators • Example- 1/2 x 2/5 = ? • 1 x 2 = 2 *This time we don’t need a common denominator!

  9. Multiplying Fractions- • Step 2- • Multiply the denominators • Example- 1/2 x 2/5 = ? • 2 x 5 = 10

  10. Multiplying Fractions- • Step 3- • If possible simplify your answer • Answer – 2/10 • Find the greatest common factor • 2/10 = 1/5 because the GCF is 2 • 2 ÷ 2 = 1 and 10 ÷ 2 = 5

  11. Dividing Fractions- • Step 1- • “Skip, Change, Flip” • Don’t change the first fraction – Skip • Change the ÷ to a x- Change • Flip the second fraction upside down (the reciprocal)- Flip • Example- 1/3 ÷ 2/4 becomes 1/3 x 4/2

  12. Dividing Fractions- • Step 2- • Multiply the numerators • 1 x 4 = 4 • Multiply the denominators • 3 x 2 = 6 • Answer- 4/6

  13. Dividing Fractions- • Step 3- • If possible simplify your answer • Find greatest common factor • Answer- 4/6 • 4/6 = 2/3 because the GCF is 2 • 4 ÷ 2 = 2 and 6 ÷ 2 = 3

  14. Now lets see what you have learned……

  15. #1-What is 2/5 + 1/5? • 3/5 • 3/10 • 2/25 • 1/5

  16. Correct! • Next Question

  17. Try again! • Go back to question

  18. #2-What is 3/4 - 4/6 ? • 7/10 • 1/12 • 12/24 • 1/2

  19. Good Job! • Next Question

  20. Nice try! • Go back to question

  21. #3-What is 1/2 x 2/3? • 3/5 • 1/6 • 1/3 • 2/5

  22. Excellent! • Next Question

  23. Try Again! • Go back to question

  24. #4-What is 1/4 + 2/3? • 11/12 • 3/7 • 2/12 • 3/12

  25. Correct! • Next Question

  26. Try again! • Go back to question

  27. #5- What is 1/3 ÷ 2/3? • 1/3 • 2/6 • 1/2 • 2/3

  28. Good Work! • Next Question

  29. Nice Try! • Go back to question

  30. #6- What is 2/5 – 1/3? • 2/15 • 1/15 • 3/8 • 1/2

  31. Correct! • Next Question

  32. Try Again! • Go back to question

  33. #7- What is 3/4 x 1/8? • 3/32 • 2/4 • 4/12 • 3/12

  34. Good Job! • Next Question

  35. Try Again! • Go back to question

  36. #8- What is 1/8 ÷ 2/3? • 2/24 • 2/16 • 3/16 • 1/5

  37. Try again! • Go back to question

  38. Excellent!

  39. The End!

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