Exercise 3 Page 329

2/3

Practice makes perfect

Let's find the quotient for the given division. 3 34 ÷ 5 58 We will start by rewriting the mixed numbers as improper fractions.

3 34 ÷ 5 58

a bc=a* c+b/c

3*4 + 3/4 ÷ 5* 8 + 5/8

Multiply

12+3/4 ÷ 40+5/8

Add terms

15/4 ÷ 45/8

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 15/4 ÷ 45/8=15/4 * 8/45 Next, we multiply the numerators and the denominators.

15/4 * 8/45

Multiply fractions

120/180

a/b=.a /60./.b /60.

2/3

Now, let's check our answer. To do so, we will multiply the quotient, 23, by the divisor, 5 58.

2/3 * 5 58

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Write mixed number as a fraction

a bc=a* c+b/c

2/3 * 5 * 8 + 5/8

Multiply

2/3 * 40 + 5/8

Add terms

2/3 * 45/8

Multiply fractions

90/24

a/b=.a /6./.b /6.

15/4

Write fraction as a mixed number

3 34

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

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