what is 30 of 4800

Natashya

less than a minute read

·

23-12-2024

1

0

Share

What is 30/4800? Simplifying Fractions and Understanding Percentages

The question "What is 30/4800?" asks us to find the simplest form of this fraction and understand its equivalent percentage. Let's break down how to solve this.

Simplifying the Fraction 30/4800

The first step is to simplify the fraction 30/4800. This means finding the greatest common divisor (GCD) of both the numerator (30) and the denominator (4800) and dividing both by it.

We can start by noticing that both numbers are divisible by 10:

30 ÷ 10 = 3 4800 ÷ 10 = 480

This gives us the simplified fraction 3/480. However, we can simplify further. Both 3 and 480 are divisible by 3:

3 ÷ 3 = 1 480 ÷ 3 = 160

Therefore, the simplest form of the fraction 30/4800 is 1/160.

Converting the Fraction to a Percentage

To convert the fraction 1/160 to a percentage, we divide the numerator (1) by the denominator (160) and then multiply by 100:

1 ÷ 160 = 0.00625 0.00625 × 100 = 0.625%

Therefore, 30/4800 is equal to 0.625%.

Understanding the Result

This means that 30 represents 0.625% of 4800. This is a relatively small percentage, indicating that 30 is a small portion of the total 4800.

Practical Applications

Understanding how to simplify fractions and convert them to percentages is valuable in many situations, including:

• Calculating discounts: Determining the percentage discount on an item.
• Analyzing data: Representing proportions in data sets.
• Financial calculations: Calculating interest rates or profit margins.
• Everyday life: Determining proportions in recipes or understanding statistics.

This problem demonstrates a fundamental mathematical skill with broad applications. Mastering fraction simplification and percentage conversion is crucial for many areas of life and study.