Exercise 17 Page 65

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 Model sofa & Real sofa [0.8em] 16inches/7inches & 80inches/35inchesWe need to simplify the above expressions so that we can know the unit rates. Since the greatest common factor (GCF) of the numerator and denominator of the first rate is 1, the fraction is already written in its simplest form. We only need to simplify the second rate.

80/35

ReduceFrac

a/b=.a / 5./.b / 5.

80÷ 5/35÷ 5

SimpQuot

Simplify quotient

16/7

Finally, we can compare the simplified rates. 16/7 = 16/7 Since the fractions are equivalent, the ratios are equivalent.