Converting 0.12323 to a Fraction
What is 0.12323 as a Fraction?
The decimal number 0.12323 can be converted to a fraction by finding the equivalent ratio of integers. In this article, we will explore how to convert 0.12323 to a simplified fraction.
Method 1: Long Division
One way to convert 0.12323 to a fraction is by using long division. Let's perform the division:
______
0.12323 | 1
- 0.1
______
0.02323
- 0.02
______
0.00323
- 0.003
______
0.00023
The division process can be continued, but we can already see a pattern emerging. The decimal part 0.12323 can be written as a fraction by dividing the numerator by the denominator:
0.12323 = 12323/100000
Method 2: Fraction Conversion Formula
Another way to convert 0.12323 to a fraction is by using the fraction conversion formula:
Fraction = (Decimal × 10^n) / 10^n
where n is the number of decimal places.
In this case, n = 5 since there are 5 decimal places in 0.12323.
Fraction = (0.12323 × 10^5) / 10^5 Fraction = 12323 / 100000
Simplifying the Fraction
The fraction 12323/100000 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD):
GCD(12323, 100000) = 12323
Simplified Fraction = 12323 / 12323 Simplified Fraction = 1/1
However, this is not a simplified fraction since the numerator and denominator are not in their lowest terms. We can try to simplify it further:
12323 = 617.115 (approximately) 100000 = 615.384 (approximately)
Simplified Fraction ≈ 617.115 / 615.384 Simplified Fraction ≈ 1.002
The simplified fraction is approximately 1.002, which is close to 1.
Conclusion
In conclusion, 0.12323 can be converted to a fraction using long division or the fraction conversion formula. The simplified fraction is approximately 1.002, which is close to 1. This demonstrates how decimal numbers can be expressed as fractions, and how fractions can be simplified to their lowest terms.
