62/100 as a Fraction: Simplifying the Decimal
In mathematics, fractions are a way to represent a part of a whole. They consist of a numerator (the top number) and a denominator (the bottom number), separated by a division slash. In this article, we will explore how to convert the decimal 62/100 to a simplified fraction.
What is 62/100 as a Fraction?
The decimal 62/100 can be written as a fraction by dividing the numerator (62) by the denominator (100):
62 ÷ 100 = 0.62
However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Simplifying the Fraction
To simplify the fraction, we need to find the GCD of 62 and 100. The GCD of 62 and 100 is 2. Therefore, we can divide both numbers by 2:
62 ÷ 2 = 31 100 ÷ 2 = 50
So, the simplified fraction is:
31/50
Conclusion
In conclusion, the decimal 62/100 can be converted to a simplified fraction, which is 31/50. This fraction is easier to work with and understand, and it represents the same value as the original decimal.
Key Takeaways
- 62/100 can be written as a fraction: 62 ÷ 100 = 0.62
- The simplified fraction is: 31/50
- Simplifying fractions involves finding the GCD of the numerator and denominator and dividing both numbers by the GCD.
