what is 30 of 920

Natashya

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23-12-2024

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What is 30/920? Simplifying Fractions and Understanding Percentages

What is 30 out of 920? This seemingly simple question involves understanding fractions, simplifying them, and converting them into percentages. Let's break it down step-by-step.

1. Expressing the Problem as a Fraction:

The phrase "30 out of 920" directly translates to the fraction 30/920. This means 30 is the part, and 920 is the whole.

2. Simplifying the Fraction:

This fraction can be simplified by finding the greatest common divisor (GCD) of 30 and 920. The GCD is the largest number that divides both 30 and 920 without leaving a remainder. In this case, the GCD is 10.

Dividing both the numerator (30) and the denominator (920) by 10, we get:

30 ÷ 10 = 3 920 ÷ 10 = 92

Therefore, the simplified fraction is 3/92.

3. Converting the Fraction to a Percentage:

To express 3/92 as a percentage, we divide the numerator (3) by the denominator (92) and multiply the result by 100:

(3 ÷ 92) × 100 ≈ 3.26%

Therefore, 30 out of 920 is approximately 3.26%.

Understanding the Result:

This means that 30 represents approximately 3.26% of the total 920. This percentage is relatively small, indicating that 30 is a small portion of the whole.

Practical Applications:

Understanding how to calculate and simplify fractions and convert them to percentages is crucial in various real-world scenarios, including:

• Calculating percentages in finance: Determining interest rates, discounts, or profit margins.
• Analyzing data in statistics: Representing proportions and distributions.
• Problem-solving in everyday life: Figuring out tips, sales tax, or proportions of ingredients in a recipe.

In summary: 30 out of 920 is equivalent to the simplified fraction 3/92, which is approximately 3.26%. This process demonstrates the fundamental relationship between fractions, simplification, and percentages, skills applicable in many contexts.