To determine which ratio is not equivalent to the others, we'll convert each fraction to its simplest form and see if they yield the same value.
-
StartFraction 2 Over 5 EndFraction:
This is already in simplest form: \( \frac{2}{5} \). -
StartFraction 6 Over 10 EndFraction:
Simplifying gives \( \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \). -
StartFraction 8 Over 20 EndFraction:
Simplifying gives \( \frac{8 \div 4}{20 \div 4} = \frac{2}{5} \). -
StartFraction 12 Over 30 EndFraction:
Simplifying gives \( \frac{12 \div 6}{30 \div 6} = \frac{2}{5} \). -
StartFraction 14 Over 35 EndFraction:
Simplifying gives \( \frac{14 \div 7}{35 \div 7} = \frac{2}{5} \).
Now we can summarize the simplified values:
- \( \frac{2}{5} = \frac{2}{5} \)
- \( \frac{6}{10} = \frac{3}{5} \) (not equivalent)
- \( \frac{8}{20} = \frac{2}{5} \)
- \( \frac{12}{30} = \frac{2}{5} \)
- \( \frac{14}{35} = \frac{2}{5} \)
The only ratio that is not equivalent to the others is:
StartFraction 6 Over 10 EndFraction.