what is 4 of 1200

less than a minute read 23-12-2024

What is 4/1200? Simplifying Fractions and Understanding Percentages

What is 4 out of 1200? This seemingly simple question involves understanding fractions, simplifying them, and potentially expressing the result as a percentage. Let's break it down step-by-step.

Understanding the Fraction 4/1200

The phrase "4 out of 1200" translates directly into the fraction 4/1200. This means 4 represents a part of a larger whole, which is 1200. To better understand this relationship, we need to simplify the fraction.

Simplifying the Fraction

Simplifying a fraction means reducing it to its lowest terms. We do this by finding the greatest common divisor (GCD) of both the numerator (4) and the denominator (1200) and dividing both by it.

The GCD of 4 and 1200 is 4. Dividing both the numerator and denominator by 4, we get:

4 ÷ 4 = 1 1200 ÷ 4 = 300

Therefore, the simplified fraction is 1/300.

Expressing the Fraction as a Percentage

To express 1/300 as a percentage, we divide the numerator by the denominator and multiply the result by 100:

(1 ÷ 300) x 100 = 0.00333... x 100 ≈ 0.33%

So, 4 out of 1200 is approximately 0.33%.

Real-World Applications

Understanding how to calculate and simplify fractions like 4/1200 has many practical applications:

Statistics: Calculating percentages in surveys, polls, or data analysis. For example, if 4 out of 1200 people surveyed preferred a particular product, this represents 0.33% of the total respondents.
Finance: Determining proportions in investment portfolios or calculating interest rates.
Science: Representing proportions in experiments or data analysis.
Everyday Life: Dividing tasks, sharing resources, or calculating discounts.

Conclusion: 4/1200 Simplified

In conclusion, 4 out of 1200 is equivalent to the simplified fraction 1/300, which is approximately 0.33%. Understanding how to simplify fractions and convert them to percentages is a valuable skill with broad applications in various fields. Remember, the key is to find the greatest common divisor to simplify the fraction to its lowest terms.