Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
5. Add and Subtract Mixed Numbers
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Exercise 7 Page 303

Begin by rewriting the given mixed numbers as improper fractions. To add or subtract fractions, they need to have the same denominator.

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Practice makes perfect

Before we can evaluate a sum or difference involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc a* c+b/c Simplify
6 35 6* 5+3/5 33/5
1 23 1* 3+2/3 5/3
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 33/5 - 5/3 Since 15 is a least common denominator of 5 and 3 we can multiply both the numerator and denominator of 335 by 3 and 53 by 5 to create a common denominator. We will start with the first fraction.
33/5
33*3/5*3
99/15
Let's continue with the second fraction.
5/3
5*5/3*5
25/15
Now, since the denominators are the same, we can subtract the fractions.
99/15-25/15
99-25/15
74/15
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