what is 10 of 45

Natashya

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25-12-2024

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What is 10 of 45? Understanding Fractions and Percentages

The question "What is 10 of 45?" can be interpreted in a few ways, depending on what you're trying to find out. Let's explore the different interpretations and solutions.

1. 10 as a Fraction of 45:

This is the most likely interpretation. "10 of 45" means 10 out of a total of 45. This is represented as a fraction: 10/45.

To simplify this fraction, we find the greatest common divisor (GCD) of 10 and 45, which is 5. Dividing both the numerator (top number) and the denominator (bottom number) by 5, we get:

10/45 = 2/9

Therefore, 10 out of 45 is equal to 2/9.

2. 10 as a Percentage of 45:

To express 10 as a percentage of 45, we follow these steps:

• Divide: Divide 10 by 45: 10 ÷ 45 = 0.222...
• Multiply by 100: Multiply the result by 100 to convert it to a percentage: 0.222... × 100 = 22.22...%

So, 10 is approximately 22.22% of 45. We can round this to 22.2% for practical purposes.

3. 10 as a Ratio of 45:

A ratio simply compares two numbers. The ratio of 10 to 45 is written as 10:45. Like the fraction, this can be simplified by dividing both numbers by their GCD (5), resulting in a simplified ratio of 2:9.

In Summary:

The answer to "What is 10 of 45?" depends on the context:

• As a fraction: 2/9
• As a percentage: Approximately 22.22%
• As a ratio: 2:9

Understanding these different ways of representing the relationship between 10 and 45 is crucial in various mathematical contexts and real-world applications. Whether you're calculating proportions, percentages, or simply comparing quantities, mastering these concepts is key.