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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 1 Page 328

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

7

Practice makes perfect

Let's find the quotient for the given division. 3 12 ÷ 1/2 We will start by rewriting the mixed number as an improper fraction.

3 12 ÷ 1/2

a bc=a* c+b/c

3*2 + 1/2 ÷ 1/2

Multiply

6+1/2 ÷ 1/2

Add terms

7/2 ÷ 1/2

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 7/2 ÷ 1/2= 7/2* 2/1 Next, we multiply the numerators and the denominators.

7/2* 2/1

Multiply fractions

14/2

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

7/1

a/1=a

7

Now, let's check our answer. To do so, we will multiply the quotient, 7, by the divisor, 12.

7 * 1/2

MoveLeftFacToNumOne

a* 1/b= a/b

7/2

Write fraction as a mixed number

3 12

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