what is 15 of 350

Natashya

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25-12-2024

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What is 15/350? Simplifying Fractions and Understanding Percentages

This article will guide you through calculating 15/350, explaining the process of simplifying fractions and converting them into percentages. We'll also explore practical applications of this calculation.

Understanding Fractions

The expression "15/350" represents a fraction. A fraction shows a part of a whole. The top number (15) is called the numerator, representing the part. The bottom number (350) is the denominator, representing the whole.

Simplifying the Fraction

Before calculating the decimal equivalent, it's often helpful to simplify the fraction. This means finding the greatest common divisor (GCD) of both the numerator and denominator and dividing both by it. The GCD of 15 and 350 is 5.

15 ÷ 5 = 3 350 ÷ 5 = 70

Therefore, 15/350 simplifies to 3/70. This simplified fraction is easier to work with.

Converting to a Decimal

To convert the fraction 3/70 to a decimal, divide the numerator (3) by the denominator (70):

3 ÷ 70 ≈ 0.042857

This means that 15/350 is approximately equal to 0.042857.

Converting to a Percentage

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

0.042857 × 100 ≈ 4.29%

Therefore, 15 out of 350 is approximately 4.29%.

Practical Applications

Understanding how to calculate 15/350 and express it as a decimal or percentage is useful in many situations, such as:

• Calculating Percentages: Imagine you answered 15 questions correctly out of 350 on a test. This calculation helps determine your percentage score.

• Sales and Discounts: If a store offers a discount of 15 items out of a total of 350, this calculation will help determine the percentage discount.

• Financial Analysis: In finance, this type of calculation could be used to determine the proportion of a particular investment within a larger portfolio.

In Summary

15/350 simplifies to 3/70, which is approximately 0.042857 or 4.29%. Understanding how to perform these calculations is valuable in various fields, providing a clear way to represent parts of a whole in a concise and easily understandable manner. Remember to always simplify fractions before performing other calculations for greater accuracy and ease.