Exercise 28 Page 113

One way to know if two ratios or rates are equivalent is by writing them as fractions. We can check if the relationship between the two quantities is the same when we compare these fractions in their simplest form. Let's see if the given rates are equivalent! c|c First Ratio & Second Ratio [0.8em] 6 : 10 & 12:20 First, let's write both of them as fractions. c|c First Ratio & Second Ratio [0.8em] 6/10 & 12/20 We need to simplify the above expressions. Let's start by simplifying the first ratio.

6/10

ReduceFrac

a/b=.a / 2./.b / 2.

6÷ 2/10÷ 2

SimpQuot

Simplify quotient

3/5

Let's now simplify the second rate.

12/20

ReduceFrac

a/b=.a / 4./.b / 4.

12÷ 4/20÷ 4

SimpQuot

Simplify quotient

3/5

Finally, we can compare the simplified rates. 3/5 = 3/5 Since the fractions are equivalent, the ratios are equivalent.