Exercise 12 Page 331

2/3

Practice makes perfect

Let's find the quotient for the given division. 3 ÷ 41/2 We will start by rewriting the whole number and the mixed number as an improper fraction.

3 ÷ 41/2

Write as a fraction

3/1 ÷ 41/2

a bc=a* c+b/c

3/1 ÷ 4*2 +1/2

3/1 ÷ 8 +1/2

Add terms

3/1 ÷ 9/2

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 3/1 ÷ 9/2 = 3/1 * 2/9 Next, we multiply the numerators and the denominators.

3/1 * 2/9

Multiply fractions

6/9

a/b=.a /3./.b /3.

2/3

Now, let's check our answer. To do so, we will multiply the quotient, 23, by the divisor, 92.

2/3 * 9/2

Multiply fractions

18/6

Calculate quotient

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

Hints