Exercise 14 Page 331

Practice makes perfect

Let's find the quotient for the given division. 7 45 ÷ 1/5 We will start by rewriting the mixed number as an improper fraction.

7 45 ÷ 1/5

a bc=a* c+b/c

7 * 5 + 4/5 ÷ 1/5

35 + 4/5 ÷ 1/5

Add terms

39/5 ÷ 1/5

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 39/5 ÷ 1/5 = 39/5 * 5/1 Next, we multiply the numerators and the denominators.

39/5 * 5/1

Multiply fractions

39*5/5*1

a/b=.a /5./.b /5.

39*1/1*1

39/1

a/1=a

Now, let's check our answer. To do so, we will multiply the quotient, 39, by the divisor, 15.

39 * 1/5

a* 1/b= a/b

39/5

Write fraction as a mixed number

7 45

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

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