McGraw Hill Integrated II, 2012
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Exercise 2 Page 881

To add or subtract fractions, they need to have the same denominator.

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Practice makes perfect
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 7/9 + 2/6 Now, we can factor both of the denominators to find any common factors. 9= 3( 3) and 6= 2( 3) The only common factor is 3. Therefore, the common denominator is equal to 2( 3)( 3) or 18. Now, we can multiply both numerator and denominator of each fraction by the factors that do not occur in their denominators.
7/9 + 2/6
7( 2)/9( 2) + 2/6
7(2)/9(2) + 2( 3)/6( 3)
14/18 + 6/18
Now that we have a common denominator, we can proceed to simplifying the expression.
14/18 + 6/18
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Add fractions
14+6/18
20/18
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The quotient is 109. We can also write this fraction as a mixed number.
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Write as a sum of fractions
9+1/9
9/9+1/9
1+1/9
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