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 21 Page 305

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
8 38 8* 8+3/8 67/8
10 13 10* 3+1/3 31/3
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 67/8 + 31/3 Since 24 is a least common denominator of 8 and 3 we can multiply both the numerator and denominator of 678 by 3 and 313 by 8 to create a common denominator. We will start with the first fraction.
67/8
67*3/8*3
201/23
Let's continue with the second fraction.
31/3
31*8/3*8
248/24
Now, since the denominators are the same, we can add the fractions.
201/24+248/24
201+248/24
449/24
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