Exercise 14 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 15computers/45students & 45computers/135students We need to simplify the above expressions to find out if the rates are the same. Let's start by simplifying the first rate. To make the math a little bit simpler, we will only look at the numbers.

15/45

ReduceFrac

a/b=.a / 15./.b / 15.

15÷ 15/45÷ 15

SimpQuot

Simplify quotient

1/3

Let's now simplify the second rate.

45/135

ReduceFrac

a/b=.a / 45./.b / 45.

45÷ 45/135÷ 45

SimpQuot

Simplify quotient

1/3

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