Is 2/10 equivalent to 1/5?
Understand the Problem
The question is asking whether the fraction 2/10 is equivalent to 1/5. To determine if two fractions are equivalent, we can simplify the first fraction and compare it to the second one.
Answer
Yes, the fraction $ \frac{2}{10} $ is equivalent to $ \frac{1}{5} $.
Answer for screen readers
Yes, the fraction $ \frac{2}{10} $ is equivalent to $ \frac{1}{5} $.
Steps to Solve
- Simplify the first fraction
To simplify the fraction $ \frac{2}{10} $, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$
- Compare the simplified fraction to the second fraction
Now that we have simplified $ \frac{2}{10} $ to $ \frac{1}{5} $, we can compare it directly to the second fraction $ \frac{1}{5} $.
Since both fractions are the same, we conclude that they are equivalent.
Yes, the fraction $ \frac{2}{10} $ is equivalent to $ \frac{1}{5} $.
More Information
When comparing fractions, we can simplify them to see if they are equal. In this case, simplifying $ \frac{2}{10} $ shows that it equals $ \frac{1}{5} $. This illustrates a fundamental principle in fractions: that simplifying can provide clarity in their equivalence.
Tips
- A common mistake is miscalculating the GCD of the numerator and denominator. Always double-check for the highest divisor to simplify correctly.
- Another mistake is failing to simplify before comparing. Always simplify first to avoid confusion.
