what is 30 of 750

less than a minute read 27-12-2024

What is 30/750? Simplifying Fractions and Understanding Percentages

This article will explore how to calculate 30 out of 750, simplifying the fraction and expressing it as a percentage. Understanding these calculations is fundamental in various contexts, from everyday tasks to more complex mathematical problems.

Calculating the Fraction

The phrase "30 of 750" translates directly into the fraction 30/750. This represents 30 parts out of a total of 750 parts. To understand its value, we need to simplify this fraction.

Simplifying the Fraction

The first step to simplifying 30/750 is to find the greatest common divisor (GCD) of both 30 and 750. The GCD is the largest number that divides both numbers without leaving a remainder. In this case, the GCD of 30 and 750 is 30.

Dividing both the numerator (30) and the denominator (750) by the GCD (30), we get:

30 ÷ 30 = 1 750 ÷ 30 = 25

Therefore, the simplified fraction is 1/25. This means 30 out of 750 is equivalent to 1 out of 25.

Converting to a Percentage

To express 30/750 (or its simplified form, 1/25) as a percentage, we perform the following calculation:

(1/25) * 100% = 4%

Therefore, 30 out of 750 is equal to 4%.

Real-World Applications

Understanding how to calculate fractions and percentages is crucial in many everyday situations:

Discounts: Calculating discounts on sale items. For example, a 4% discount on a $750 item.
Statistics: Analyzing data and representing proportions. For instance, finding the percentage of students who passed an exam.
Financial Calculations: Determining interest rates, loan repayments, and investment returns.

In Summary

We've demonstrated that 30 out of 750 is equivalent to the simplified fraction 1/25 and the percentage 4%. This process involves finding the greatest common divisor to simplify the fraction and then multiplying by 100% to convert it to a percentage. This simple calculation has broad applicability across various aspects of life. Mastering these techniques enhances your understanding of numerical relationships and provides valuable tools for problem-solving.