Answer:
Step-by-step explanation:
The given ratios are 6:4 and 18:8
This is not clear from the given ratios that they are equivalent.
We further simplify these ratios.
6 : 4 = [tex]\frac{6}{4}=\frac{3}{2}[/tex]
18 : 8 = [tex]\frac{18}{8}=\frac{9}{4}[/tex]
Since these fractions are not equal therefore, these ratios can't be equivalent.
The simplest form of the ratios are not the same, hence, the ratios 6:4 and 18:8 are not equivalent ratios
In order to show why the given ratios are not equivalent ratios, we need to express them in their simplest form as shown:
For the ratio of 6:4
[tex]6:4=\dfrac{6}{4} \\= \frac{3 \times 2}{2 \times 2} \\= \frac{3}{2}\\=3:2[/tex]
For the ratio of 18:8
[tex]18:8=\dfrac{18}{8} \\= \frac{9 \times 2}{4 \times 2} \\= \frac{9}{4}\\=9:4[/tex]
Since the simplest form of the ratios are not the same, hence, the ratios 6:4 and 18:8 are not equivalent ratios
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