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

Convert the first fraction to decimal To check if the fractions are equivalent, we can convert $ \frac{1}{5} $ to a decimal. $$ \frac{1}{5} = 0.2 $$

Convert the second fraction to decimal Next, we convert $ \frac{2}{10} $ to a decimal as well. $$ \frac{2}{10} = 0.2 $$

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 onefifth or twotenths. 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.