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Glencoe Math: Course 1, Volume 1

GM

Glencoe Math: Course 1, Volume 1 View details

8. Divide Mixed Numbers

Finish the assignment

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Exercise 16 Page 331

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

4 126

Practice makes perfect

Let's find the quotient for the given division. 8 34 ÷ 2 16 We will start by rewriting the mixed numbers as improper fractions.

8 34 ÷ 2 16

a bc=a* c+b/c

8*4+3/4 ÷ 2*6+1/6

Multiply

32+3/4 ÷ 12+1/6

Add terms

35/4 ÷ 13/6

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 35/4 ÷ 13/6 = 35/4 * 6/13 Next, we multiply the numerators and the denominators.

35/4 * 6/13

Multiply fractions

210/52

a/b=.a /2./.b /2.

105/26

▼

Write fraction as a mixed number

Write as a sum

104+1/26

Write as a sum of fractions

104/26+1/26

Calculate quotient

4+1/26

Add terms

4 126

Now, let's check our answer. To do so, we will multiply the quotient 4 126 by the divisor 2 16.

4 126 * 2 16

▼

Write mixed number as a fraction

a bc=a* c+b/c

4* 26+1/26 * 2 * 6 +1/6

Multiply

104+1/26 * 12 +1/6

Add terms

105/26 * 13/6

Multiply fractions

1365/156

a/b=.a /39./.b /39.

35/4

Write fraction as a mixed number

8 34

As we can see, the result is the dividend. So, we know that 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