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Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

5. Add and Subtract Mixed Numbers

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Exercise 14 Page 304

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

3 12

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 12	3* 2+1/2	7/2
4 23	4* 3+2/3	14/3

Next, we will rewrite the given fractions.

72/5+143/2

.a/b /c.= a/b* c

7/2* 5+14/3* 2

Multiply

7/10+14/6

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators. 7/10 + 14/6 Since 30 is a least common denominator of 10 and 6 we can multiply both the numerator and denominator of 710 by 3 and 146 by 5 to create a common denominator. We will start with the first fraction.

7/10

a/b=a * 3/b * 3

7*3/10*3

Multiply

21/30

Let's continue with the second fraction.

14/6

a/b=a * 5/b * 5

14*5/6*5

Multiply

84/30

Now, since the denominators are the same, we can add the fractions.

21/30+84/30

Add fractions

21+84/30

Add terms

105/30

a/b=.a /15./.b /15.

7/2

Calculate quotient

3 12

Subchapter links

Guided Practice p.302

Independent Practice p.303-304

H.O.T. Problems p.304

Standardized Test Practice p.304-306

Extra Practice p.305

Common Core Review p.306