what is 15 of 115

Natashya

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26-12-2024

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What is 15/115? Simplifying Fractions and Understanding Percentages

The question "What is 15/115?" asks us to find the result of dividing 15 by 115. This is a simple fraction that can be simplified and expressed as a decimal or percentage. Let's explore how to solve this and understand the underlying concepts.

1. Simplifying the Fraction:

The first step in solving 15/115 is to simplify the fraction by finding the greatest common divisor (GCD) of both the numerator (15) and the denominator (115). The GCD is the largest number that divides both 15 and 115 without leaving a remainder.

In this case, the GCD of 15 and 115 is 5. We can divide both the numerator and the denominator by 5:

15 ÷ 5 = 3 115 ÷ 5 = 23

Therefore, the simplified fraction is 3/23.

2. Converting to a Decimal:

To convert the simplified fraction 3/23 into a decimal, we perform the division:

3 ÷ 23 ≈ 0.1304

So, 15/115 is approximately equal to 0.1304.

3. Converting to a Percentage:

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

0.1304 x 100 = 13.04%

Therefore, 15/115 is approximately 13.04%.

In summary:

• Fraction: 15/115 simplifies to 3/23
• Decimal: 15/115 ≈ 0.1304
• Percentage: 15/115 ≈ 13.04%

Understanding the Result:

This means that 15 is approximately 13.04% of 115. This type of calculation is useful in various situations, such as calculating percentages in finance, determining proportions in science, or finding discounts in shopping. Understanding how to simplify fractions and convert them to decimals and percentages is a fundamental skill in mathematics.