Is 1/5 equal to 2/10?
Understand the Problem
The question is asking whether the fractions 1/5 and 2/10 are equivalent. To determine this, we can check if both fractions simplify to the same value or if they have the same decimal representation.
Answer
The fractions \( \frac{1}{5} \) and \( \frac{2}{10} \) are equivalent.
Answer for screen readers
The fractions ( \frac{1}{5} ) and ( \frac{2}{10} ) are equivalent.
Steps to Solve
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Convert the first fraction to decimal To check if the fractions are equivalent, we can convert $ \frac{1}{5} $ to a decimal. $$ \frac{1}{5} = 0.2 $$
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Convert the second fraction to decimal Next, we convert $ \frac{2}{10} $ to a decimal as well. $$ \frac{2}{10} = 0.2 $$
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Compare the decimal values Now, we compare the decimal values we found:
- $0.2$ from $ \frac{1}{5} $
- $0.2$ from $ \frac{2}{10} $
Both fractions equal $0.2$, indicating they are equivalent.
- Conclusion about equivalence Since both fractions simplify to the same decimal value, we conclude that $ \frac{1}{5} = \frac{2}{10} $.
The fractions ( \frac{1}{5} ) and ( \frac{2}{10} ) are equivalent.
More Information
Both fractions represent the same amount, which is one-fifth or two-tenths. This demonstrates that fractions can have different numerators and denominators but still be equal.
Tips
- Not simplifying fractions correctly. Always ensure each fraction is fully simplified before comparing.
- Forgetting to convert both fractions to the same form. Comparing decimals helps illustrate their equivalence clearly.
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