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Adding and Subtracting Fractions with Common Denominators

Learn how to add and subtract fractions by finding a common denominator. Practice with counting and equivalent fractions.

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Adding and Subtracting Fractions with Common Denominators

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  1. & dding ubtracting ractions

  2. We need a common denominator to add these fractions. +

  3. We need a common denominator to add these fractions. + Count by 2's 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 7's 7, 14, 21, 28, 35…

  4. Count by 2's 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 7's 7, 14, 21, 28, 35… The first number IN COMMON that appears on both lists becomes the common denominator

  5. x 7 7 Make equivalent fractions. = X 7 x 2 6 Add the numerators = + 7 + 6 = 13 x 2 13

  6. We need a common denominator to add these fractions. + Count by 7's 7, 14, 21, 28, 35, 42, 49, 56, 63 Count by 5's 5, 10, 15, 20, 25, 30, 35, 40, 45

  7. x 5 15 Make equivalent fractions. = X 5 x 7 7 + Add the numerators = x 7 15 + 7 = 22 22

  8. We need a common denominator to add these fractions. + Count by 3's 3, 6, 9, 12, 15, 18, 21, 24, 27 Count by 5's 5, 10, 15, 20, 25, 30, 35, 40, 45

  9. x 3 9 Add the numerators = X 3 9 + 10 = 19 x 5 10 + = x 5 19

  10. We need a common denominator to add these fractions. + Count by 3's 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 Count by 11's 11, 22, 33, 44, 55, 66, 77…

  11. 15 x 3 Make equivalent fractions. = X 3 x 11 Add the numerators 22 + = 15 + 22 = 37 x 11 37

  12. We need a common denominator to add these fractions. + Count by 3's 3, 6, 9, 12, 15, 18, 21, 24, 27 Count by 6's 6, 12, 18, 24,…

  13. 4 x 2 = X 2 Make equivalent fractions. 1 x 1 + Add the numerators = x 1 4 + 1 = 5 5

  14. We need a common denominator to subtract a fraction from another. - Count by 5's 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 Count by 11's 11, 22, 33, 44, 55, 66, 77…

  15. 15 x 5 Make equivalent fractions. = x 5 11 x 11 Subtract. = 15 - 11 = 4 - x 11 4

  16. Try These A D E B F C

  17. Answers On Next Slide • Each click on the next slide reveals an answer. • Check your papers. • If you discover an incorrect answer, be able to explain your mistake.

  18. 17 27 19 20 10 9 41 28 26 21 13 12 Try These A D B E C F

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