What is 4/1800? Simplifying Fractions and Understanding Percentages
The question "What is 4/1800?" asks for the simplification of a fraction and potentially its representation as a decimal or percentage. Let's break down how to solve this and understand the underlying concepts.
1. Simplifying the Fraction:
The fraction 4/1800 represents four parts out of a total of 1800 parts. To simplify this, we need to find the greatest common divisor (GCD) of 4 and 1800. The GCD is the largest number that divides both the numerator (4) and the denominator (1800) without leaving a remainder.
In this case, the GCD of 4 and 1800 is 4. We can simplify the fraction by dividing both the numerator and the denominator by 4:
4 ÷ 4 = 1 1800 ÷ 4 = 450
Therefore, 4/1800 simplifies to 1/450.
2. Converting to a Decimal:
To express 1/450 as a decimal, we divide the numerator (1) by the denominator (450):
1 ÷ 450 ≈ 0.002222...
This is a repeating decimal. For practical purposes, you might round it to a certain number of decimal places, such as 0.0022.
3. Converting to a Percentage:
To express 1/450 as a percentage, we multiply the decimal equivalent by 100:
0.002222... × 100 ≈ 0.2222...%
Again, you would likely round this for practical use, such as 0.22%.
In Summary:
- Simplified Fraction: 1/450
- Decimal Approximation: 0.0022
- Percentage Approximation: 0.22%
This demonstrates that 4 out of 1800 represents a very small proportion. Understanding how to simplify fractions, convert to decimals, and express as percentages is crucial for various applications in mathematics, statistics, and everyday life.
