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Glencoe Math: Course 1, Volume 1

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Glencoe Math: Course 1, Volume 1 View details

8. Divide Mixed Numbers

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Exercise 19 Page 331

Rewrite the mixed numbers as improper fractions. Then divide the fractions.

2 110

Practice makes perfect

Let's find the quotient for the given division. 4 23 ÷ 2 29 We will start by rewriting the mixed numbers as improper fractions.

4 23 ÷ 2 29

a bc=a* c+b/c

4*3 + 2/3 ÷ 2* 9 + 2/9

Multiply

12 + 2/3 ÷ 18 + 2/9

Add terms

14/3 ÷ 20/9

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 14/3 ÷ 20/9 = 14/3 * 9/20 Next, we multiply the numerators and the denominators.

14/3 * 9/20

Multiply fractions

126/60

a/b=.a /6./.b /6.

21/10

Write fraction as a mixed number

2 110

Now, let's check our answer. To do so, we will multiply the quotient, 2 110, by the divisor, 2 29.

2 110 * 2 29

▼

Write mixed number as a fraction

a bc=a* c+b/c

2 * 10 + 1/10 * 2 * 9 + 2/9

Multiply

20+ 1/10 * 18 + 2/9

Add terms

21/10 * 20/9

Multiply fractions

420/90

a/b=.a /30./.b /30.

14/3

Write fraction as a mixed number

4 23

As we can see, the result is the dividend. So, we know our answer is correct.

Subchapter links

Guided Practice p.328

Independent Practice p.329-330

H.O.T. Problems p.330

Standardized Test Practice p.330-332

Extra Practice p.331

Common Core Review p.332