what is 4 of 500

Natasha willow

less than a minute read

·

16-01-2025

20

0

Share

What is 4/500? Understanding Fractions and Simplification

What is 4 out of 500? This question involves understanding fractions and how to simplify them. Let's break it down:

Understanding the Fraction

The phrase "4 out of 500" can be expressed as a fraction: 4/500. This means 4 parts out of a total of 500 parts.

Simplifying the Fraction

While 4/500 is correct, it's not in its simplest form. To simplify a fraction, we find the greatest common divisor (GCD) of both the numerator (4) and the denominator (500) and divide both by it.

The GCD of 4 and 500 is 4. Dividing both the numerator and the denominator by 4, we get:

4 ÷ 4 = 1 500 ÷ 4 = 125

Therefore, the simplified fraction is 1/125.

Expressing it as a Decimal and Percentage

We can also express 1/125 as a decimal and a percentage:

• Decimal: 1 divided by 125 is 0.008
• Percentage: 0.008 multiplied by 100 is 0.8%

In Summary

"4 out of 500" is equivalent to the fraction 4/500, which simplifies to 1/125. This can also be represented as 0.008 or 0.8%. Understanding how to simplify fractions is crucial in various mathematical applications.