Exercise 15 Page 331

Practice makes perfect

Let's find the quotient for the given division. 6 12 ÷ 3 14 We will start by rewriting the mixed numbers as improper fractions.

6 12 ÷ 3 14

a bc=a* c+b/c

6*2+1/2 ÷ 3*4+1/4

12+1/2 ÷ 12+1/4

Add terms

13/2 ÷ 13/4

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 13/2 ÷ 13/4 = 13/2 * 4/13 Next, we multiply the numerators and the denominators.

13/2 * 4/13

Multiply fractions

52/26

Calculate quotient

Now, let's check our answer. To do so, we will multiply the quotient, 2, by the divisor, 3 14.

2 * 3 14

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Write mixed number as a fraction

a bc=a* c+b/c

2 * 3*4+1/4

2 * 12+1/4

Add terms

2 * 13/4

a*b/c= a* b/c

26/4

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

13/2

Write fraction as a mixed number

6 12

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

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