Core Connections: Course 1
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Chapter Closure

Exercise 134 Page 371

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 3/7÷2/3=3/7*3/2 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

3/7*3/2
3* 3/7* 2
9/14

The quotient is 914.

We want to divide two decimal numbers. The calculations are easier if we multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. In this case, we will multiply by 100. 1.2* 100 &= 120 0.04* 100 &= 4 This means that 1.2÷ 0.04 is the same as 120÷ 4. Now we will find the exact quotient. We divide, multiply, subtract, and compare as many times as we need.

Since 120÷ 4=30, we know that 1.2÷ 0.04=30.

Before we evaluate the expression, let's first rewrite the expression so that all of the numbers are fractions.

8 23÷ 4 12
8* 3+2/3 ÷ 4* 2 +1/2
24+2/3 ÷ 8 +1/2
26/3 ÷ 9/2

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

26/3 ÷ 9/2=26/3*2/9 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

26/3*2/9
26* 2/3* 9
78/27
78/ 3/27/ 3
26/9

The quotient is 269. We can also write this fraction as a mixed number.

26/9
18+8/9
18/9+8/9
2+8/9
2 89