What is 30 out of 375? Understanding Percentages and Fractions
This question asks us to determine the ratio of 30 to 375, often expressed as a fraction, decimal, or percentage. Let's explore how to solve this and understand the different ways to represent the answer.
1. Expressing it as a Fraction:
The simplest way to represent "30 out of 375" is as a fraction: 30/375. This fraction can be simplified by finding the greatest common divisor (GCD) of 30 and 375. The GCD of 30 and 375 is 15. Dividing both the numerator and denominator by 15 simplifies the fraction to 2/25.
2. Converting to a Decimal:
To convert the simplified fraction 2/25 to a decimal, we divide the numerator (2) by the denominator (25):
2 รท 25 = 0.08
Therefore, 30 out of 375 is equal to 0.08.
3. Calculating the Percentage:
To express this as a percentage, we multiply the decimal by 100:
0.08 x 100 = 8%
So, 30 out of 375 is 8%.
In summary:
- Fraction: 30/375 = 2/25
- Decimal: 0.08
- Percentage: 8%
This means that 30 represents 8% of 375. Understanding these different representations is crucial for various applications, from simple calculations to more complex data analysis. Knowing how to convert between fractions, decimals, and percentages allows for a versatile approach to problem-solving in numerous contexts.
