Exercise 1 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] 1: 2 & → & 1/2 [1em] 5: 10 & → & 5/10 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] 1/2 & 5/10 Since the greatest common factor (GCF) of the numerator and denominator of the first ratio is 1, the fraction is already written in its simplest form. Let's simplify the second ratio.

5/10

ReduceFrac

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

5÷ 5/10÷ 5

SimpQuot

Simplify quotient

1/2

Now we can compare the simplified rates. 1/2 = 1/2 Since the fractions are equivalent, the ratios are equivalent.