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what is 15 of 175

what is 15 of 175

2 min read 05-02-2025
what is 15 of 175

This article will guide you through calculating 15/175, explaining the process step-by-step and demonstrating how to simplify fractions and convert them to percentages. Understanding these basic mathematical operations is crucial for various applications in daily life and other fields.

Understanding Fractions

A fraction represents a part of a whole. It consists of two numbers: a numerator (the top number) and a denominator (the bottom number). In the fraction 15/175, 15 is the numerator and 175 is the denominator. This means we're looking at 15 parts out of a total of 175 parts.

Simplifying the Fraction 15/175

Before calculating the decimal equivalent, let's simplify the fraction. Simplifying means reducing the fraction to its lowest terms by finding the greatest common divisor (GCD) of both the numerator and the denominator.

The GCD of 15 and 175 is 5. We can divide both the numerator and the denominator by 5:

15 ÷ 5 = 3 175 ÷ 5 = 35

Therefore, 15/175 simplifies to 3/35. This simplified fraction is easier to work with and represents the same value as the original fraction.

Converting the Fraction to a Decimal

To convert the simplified fraction 3/35 to a decimal, divide the numerator (3) by the denominator (35):

3 ÷ 35 ≈ 0.0857

Therefore, 15/175 is approximately equal to 0.0857.

Converting the Fraction to a Percentage

To express the fraction as a percentage, multiply the decimal value by 100:

0.0857 × 100 ≈ 8.57%

So, 15/175 is approximately 8.57%.

Real-world Applications

Understanding how to simplify fractions and calculate percentages is essential in various real-world situations:

  • Calculating discounts: If an item is 15% off of a $175 price, you'd use this knowledge to determine the discount and the final price.
  • Determining proportions: In recipes or construction projects, understanding fractions helps accurately adjust ingredient quantities or measurements.
  • Analyzing data: In statistics and data analysis, percentages are vital for interpreting data and presenting findings.

Conclusion

In conclusion, 15/175 simplifies to 3/35, which is approximately 0.0857 or 8.57%. Mastering fraction simplification and percentage calculation enhances your problem-solving abilities across various contexts. Remember, practicing these basic mathematical skills will significantly improve your understanding of numbers and their applications in everyday situations.

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