Which one is greater 1/5 or 2/10
The correct answer and explanation is:
The two fractions are 15\frac{1}{5} and 210\frac{2}{10}. To compare them, it is easier to convert them to the same denominator or express them as decimals.
Step 1: Simplify 210\frac{2}{10}
The fraction 210\frac{2}{10} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Thus, 210=15\frac{2}{10} = \frac{1}{5}.
Step 2: Comparison
Now that both fractions are equal to 15\frac{1}{5}, it is clear that they are exactly the same. Therefore, 15=210\frac{1}{5} = \frac{2}{10}.
Step 3: Decimal Conversion (Optional)
To further verify, we can convert both fractions to decimals.
- 15=0.2\frac{1}{5} = 0.2
- 210=0.2\frac{2}{10} = 0.2
Since both decimals are equal, this confirms that 15\frac{1}{5} and 210\frac{2}{10} are indeed the same value.
Conclusion
Neither fraction is greater than the other. 15\frac{1}{5} and 210\frac{2}{10} are equal. This comparison highlights how simplifying fractions can make it easier to identify their relationship.