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

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
4*3 + 2/3 ÷ 2* 9 + 2/9
12 + 2/3 ÷ 18 + 2/9
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
126/60
21/10
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
â–¼
Write mixed number as a fraction
2 * 10 + 1/10 * 2 * 9 + 2/9
20+ 1/10 * 18 + 2/9
21/10 * 20/9
420/90
14/3
4 23

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