Write the given rates as fractions and simplify them as much as possible. Then, compare the simplified fractions. Are they the same?
No, they are not equivalent.
Practice makes perfect
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
First Ratio & Second Ratio [0.8em]
3 : 10 & 9:25
First, let's write both of them as fractions.
c|c
First Ratio & Second Ratio [0.8em]
3/10 & 9/25
Since the greatest common factor (GCF) of the numerator and denominator in both ratios is 1, the fractions are already written in its simplest form. Let's compare them
3/10 ≠9/25
Since the fractions are not equivalent, the ratios are not equivalent.
