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what is 6 of 800

what is 6 of 800

less than a minute read 05-02-2025
what is 6 of 800

What is 6/800? Understanding Fractions and Simplification

What is 6 out of 800? This seemingly simple question touches on fundamental concepts in mathematics, specifically fractions and simplification. Let's break down how to solve this and understand the underlying principles.

Understanding Fractions

A fraction represents a part of a whole. It's written as a numerator (the top number) over a denominator (the bottom number). In our case, "6 out of 800" translates directly to the fraction 6/800. The numerator (6) represents the part, and the denominator (800) represents the whole.

Simplifying Fractions

The fraction 6/800 isn't in its simplest form. Simplifying a fraction means reducing it to its lowest terms, making it easier to understand and work with. We do this by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it.

Finding the GCD:

The GCD of 6 and 800 is 2. This means both numbers are divisible by 2 without leaving a remainder.

Simplifying the Fraction:

Divide both the numerator and the denominator by the GCD (2):

6 ÷ 2 = 3 800 ÷ 2 = 400

Therefore, the simplified fraction is 3/400.

Expressing the Result in Other Ways

While 3/400 is the simplest fractional representation, we can also express this as:

  • A decimal: 3 divided by 400 equals 0.0075
  • A percentage: 0.0075 multiplied by 100 equals 0.75%

Real-World Applications

Understanding how to solve problems like "What is 6 out of 800?" is crucial in many real-world situations. Imagine you're analyzing survey data where 6 out of 800 respondents answered "yes" to a particular question. Simplifying the fraction to 3/400, or expressing it as a percentage (0.75%), provides a much clearer and more concise way to represent that data.

Conclusion

The answer to "What is 6 out of 800?" is 3/400 in its simplest fractional form, 0.0075 as a decimal, or 0.75% as a percentage. Understanding how to simplify fractions is a fundamental mathematical skill with wide-ranging applications in various fields. Remember to always reduce your fractions to their lowest terms for clarity and ease of use.

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