Exercise 2 Page 196

Ratios form a proportion when they are equivalent. One way to know if two ratios or rates are equivalent is by writing them as fractions. ccc Ratio & & Fraction [0.8em] 4: 6 & → & 4/6 [1em] 18: 24 & → & 18/24 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] 4/6 & 18/24 We need to simplify the above expressions. Let's start by simplifying the first fraction.

4/6

ReduceFrac

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

4÷ 2/6÷ 2

SimpQuot

Simplify quotient

2/3

Now, let's simplify the second fraction.

18/24

ReduceFrac

a/b=.a / 6./.b / 6.

18÷ 6/24÷ 6

SimpQuot

Simplify quotient

3/4

Now we can compare the simplified rates. 2/3 ≠ 3/4 Since the fractions are not equivalent, the ratios are not equivalent.