what is 12 of 15

Guri Bee

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23-10-2024

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What is 12 out of 15? Understanding Fractions and Percentages

"12 out of 15" represents a part of a whole, often used in situations where we want to express a proportion or a ratio. To understand its meaning fully, we need to explore the concepts of fractions and percentages.

Understanding Fractions

A fraction represents a part of a whole. It is written as a ratio, with a numerator (top number) and a denominator (bottom number). In our case, "12 out of 15" can be expressed as the fraction 12/15.

• Numerator (12): This represents the part we are interested in. In this case, it's 12.
• Denominator (15): This represents the total number of parts that make up the whole. In this case, it's 15.

Simplifying Fractions

The fraction 12/15 can be simplified by finding the greatest common factor (GCF) of 12 and 15, which is 3. Dividing both the numerator and denominator by 3 gives us 4/5. This means 12 out of 15 is equivalent to 4 out of 5.

Converting to Percentages

A percentage is a fraction out of 100. To convert 12/15 (or 4/5) to a percentage, we can follow these steps:

1. Divide the numerator by the denominator: 4 / 5 = 0.8
2. Multiply the result by 100: 0.8 x 100 = 80%

Therefore, 12 out of 15 is equivalent to 80%.

Real-World Applications

The concept of "12 out of 15" is widely used in various real-world scenarios, including:

• Test Scores: If you answer 12 questions correctly out of 15 on a test, your score would be 80%.
• Sales Performance: A salesperson who achieves 12 sales out of 15 targets would have an 80% success rate.
• Survey Results: If 12 out of 15 people surveyed prefer a certain brand, it represents an 80% preference for that brand.

Key Takeaways

• "12 out of 15" represents a fraction (12/15) or a percentage (80%).
• Understanding fractions and percentages helps us analyze proportions and compare different quantities.
• This concept has practical applications in various fields, including education, business, and research.