Exercise 18 Page 65

One way to know if two ratios or rates are equivalent is by looking at their unit rates. We can check if the relationship between the two quantities is the same when we compare them as rates in their simplest form. Let's see if the given rates are equivalent! c|c Store A & Store B [0.8em] 12juice bottles/$4 & 18juice bottles/$6 We need to simplify the above expressions so that we can know the unit rates. Let's start by simplifying the rate for store A. To make the math a little bit simpler, we will only look at the numbers.

12/4

ReduceFrac

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

12÷ 4/4÷ 4

SimpQuot

Simplify quotient

3/1

Let's now simplify the rate for store B.

18/6

ReduceFrac

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

18÷ 6/6÷ 6

SimpQuot

Simplify quotient

3/1

Finally, we can compare the simplified rates. 3/1 = 3/1 Since the given rates have the same unit rate, they are equivalent.