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Glencoe Math: Course 1, Volume 1

GM

Glencoe Math: Course 1, Volume 1 View details

8. Divide Mixed Numbers

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Exercise 13 Page 331

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

2 23

Practice makes perfect

Let's find the quotient for the given division. 6 ÷ 21/4 We will start by rewriting the whole number and the mixed number as an improper fraction.

6 ÷ 21/4

Write as a fraction

6/1 ÷ 21/4

a bc=a* c+b/c

6/1 ÷ 2 * 4+1/4

Multiply

6/1 ÷ 8 +1/4

Add terms

6/1 ÷ 9/4

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 6/1 ÷ 9/4 = 6/1 * 4/9 Next, we multiply the numerators and the denominators.

6/1 * 4/9

Multiply fractions

24/9

a/b=.a /3./.b /3.

8/3

Write fraction as a mixed number

2 23

Now, let's check our answer. To do so, we will multiply the quotient, 2 23, by the divisor, 2 14.

2 23 * 2 14

▼

Write mixed number as a fraction

a bc=a* c+b/c

2 * 3+2/3 * 2*4+1/4

Multiply

6+2/3 * 8+1/4

Add terms

8/3 * 9/4

Multiply fractions

72/12

Calculate quotient

6

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