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 16 Page 304

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
3 14 3* 4+1/4 13/4
2 56 2* 6+5/6 17/6
4 13 4* 3+1/3 13/3
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 13/4 + 17/6 - 13/3 Since 12 is a least common denominator of 4, 6, and 3 we can multiply both the numerator and denominator of 134 by 3, 176 by 2, and 133 by 4 to create a common denominator. We will start with the first fraction.
13/4
13*3/4*3
39/12
Let's continue with the second fraction.
17/6
17*2/6*2
34/12
Next, we will do the same for the third fraction.
13/4
13*3/4*3
39/12
Now, since the denominators are the same, we can add and subtract the fractions.
39/12+34/12-39/12
39+34/12-39/12
73/12-39/12
73-39/12
34/12
17/6
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