what is 15 of 330

less than a minute read 27-12-2024

What is 15/330? Simplifying Fractions and Understanding Percentages

So, you want to know what 15 out of 330 is? This question involves understanding fractions, simplifying them, and potentially converting the fraction to a percentage. Let's break it down step-by-step.

Understanding the Fraction 15/330

The expression "15 of 330" can be written as the fraction 15/330. This means 15 parts out of a total of 330 parts.

Simplifying the Fraction

Before we calculate the decimal or percentage equivalent, let's simplify the fraction. Both the numerator (15) and the denominator (330) are divisible by 15.

Divide both numerator and denominator by 15: 15 ÷ 15 = 1 and 330 ÷ 15 = 22

This simplifies the fraction to 1/22. This means that 15 out of 330 is the same as 1 out of 22.

Converting the Fraction to a Decimal

To express 1/22 as a decimal, we simply divide the numerator (1) by the denominator (22):

1 ÷ 22 ≈ 0.0454545...

This decimal is a repeating decimal, meaning the "45" sequence continues infinitely. For practical purposes, you might round this to 0.045 or 0.05 depending on the level of precision needed.

Converting the Fraction to a Percentage

To convert the simplified fraction 1/22 to a percentage, we multiply the decimal equivalent by 100:

0.0454545... × 100 ≈ 4.545%

Again, rounding might be necessary. You could round this to 4.5% or 5% depending on the context.

In Summary: What is 15/330?

As a simplified fraction: 1/22
As a decimal (approximately): 0.045 or 0.05
As a percentage (approximately): 4.5% or 5%

Therefore, 15 out of 330 represents a relatively small portion of the whole. The simplified fraction and percentage equivalents provide clearer and more concise ways to understand this relationship.