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& dding ubtracting ractions

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**Fractions Like denominators- just add the numerator.**

Example: 2/5 + 2/5= 4/5

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**Like Denominators Guided Practice: 12/ 15 + 2/15**

12/ /15 Try on your own: 6/23 + 7/23

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Unlike denominators Step 1: find the LCM of the denominators Step 2: multiply both the top and the bottom by that number Step 3: Make sure it doesn’t need to be simplified Look at the next slide for example

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+ We need a common denominator to add these fractions.

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**7 6 13 = = + 7 + 6 = 13 x 7 X 7 x 2 x 2 Make equivalent fractions.**

Add the numerators = + 7 + 6 = 13 x 2 13

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+ We need a common denominator to add these fractions.

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**15 7 22 = + = 15 + 7 = 22 x 5 X 5 x 7 x 7 Make equivalent fractions.**

Add the numerators = x 7 = 22 22

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We need a common denominator to add these fractions. + Count by 7's 7, 14, 21, 28, 35, 42, 49, 56, 63 Count by 8's 8, 16, 24, 32, 40, 48, 56, 64, 72

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**32 21 53 32 + 21 = 53 = + = x 8 x 8 x 7 x 7 Make equivalent fractions.**

Add the numerators x 7 + = 53 = x 7 53

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+ 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

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

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+ 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…

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**15 22 37 = + = 15 + 22 = 37 x 3 X 3 x 11 x 11 Make equivalent**

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

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+ We need a common denominator to add these fractions.

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**18 11 29 = + = 18 + 11 = 29 x 6 X 6 x 11 x 11 Make equivalent**

fractions. = X 6 x 11 11 + Add the numerators. = = 29 x 11 29

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We need a common denominator to add these fractions. +

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+ We need a common denominator to add these fractions.

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x 9 36 Make equivalent fractions. Make equivalent fractions. = x9 x 5 35 Add the numerators. Add the numerators. + = = 71 = 71 x 5 71

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Try These A D E B F C

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

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**Subtracting Fractions**

The steps are just like adding fractions, but instead of adding the numerators, you subtract the numerators.

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- We need a common denominator to subtract a fraction from another.

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

Subtract. = = 4 - x 11 4

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**5 3 2 5 – 3 = 2 = - = x 5 x 5 x 1 x 1 Make equivalent fractions.**

Subtract. - = 5 – 3 = 2 x 1 2

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