Is 2/10 equal to 1/5?
Understand the Problem
The question is asking whether the fractions 2/10 and 1/5 are equivalent. To determine this, we can simplify 2/10 to see if it equals 1/5.
Answer
Yes, the fractions $ \frac{2}{10} $ and $ \frac{1}{5} $ are equivalent.
Answer for screen readers
Yes, the fractions $ \frac{2}{10} $ and $ \frac{1}{5} $ are equivalent.
Steps to Solve
- Simplifying the Fraction 2/10 To simplify the fraction $ \frac{2}{10} $, we need to divide both the numerator (2) and the denominator (10) by their greatest common divisor (GCD), which is 2.
$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$
- Comparing the Simplified Fraction with 1/5 Now that we have simplified $ \frac{2}{10} $ to $ \frac{1}{5} $, we can directly compare the two fractions.
Since $ \frac{2}{10} = \frac{1}{5} $, the two fractions are equivalent.
Yes, the fractions $ \frac{2}{10} $ and $ \frac{1}{5} $ are equivalent.
More Information
Both fractions represent the same part of a whole. In fact, any fraction can be simplified or converted into an equivalent fraction by multiplying or dividing both the numerator and denominator by the same number.
Tips
A common mistake is to think that fractions can only be compared by their decimal values. Instead, one should always look for a common denominator or simplify them to see if they are equivalent.
