Exercise 17 Page 331

Practice makes perfect

Let's find the quotient for the given division. 3 35 ÷ 1 45 We will start by rewriting the mixed numbers as improper fractions.

3 35 ÷ 1 45

a bc=a* c+b/c

3*5+3/5 ÷ 1*5+4/5

15+3/5 ÷ 5+4/5

Add terms

18/5 ÷ 9/5

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 18/5 ÷ 9/5 = 18/5 * 5/9 Next, we multiply the numerators and the denominators.

18/5 * 5/9

Multiply fractions

90/45

Calculate quotient

Now, let's check our answer. To do so, we will multiply the quotient, 2, by the divisor, 1 45.

2 * 1 45

a bc=a* c+b/c

2 * 1 * 5 + 4/5

2 * 5 + 4/5

Add terms

2 * 9/5

a*b/c= a* b/c

18/5

Write fraction as a mixed number

3 35

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

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