what is 10 of 168

Natashya

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23-12-2024

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What is 10/168? Simplifying Fractions and Understanding Percentages

The question "What is 10/168?" asks us to find the simplest form of the fraction and potentially express it as a percentage. Let's break down how to solve this.

1. Simplifying the Fraction:

To simplify 10/168, we need to find the greatest common divisor (GCD) of 10 and 168. The GCD is the largest number that divides both 10 and 168 without leaving a remainder.

• Factors of 10: 1, 2, 5, 10
• Factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The largest number that appears in both lists is 2. Therefore, we divide both the numerator (10) and the denominator (168) by 2:

10 ÷ 2 = 5 168 ÷ 2 = 84

This simplifies the fraction to 5/84. Since 5 and 84 share no common factors other than 1, this is the simplest form of the fraction.

2. Converting to a Percentage:

To convert the fraction 5/84 to a percentage, we divide the numerator by the denominator and multiply by 100:

(5 ÷ 84) × 100 ≈ 5.95%

Therefore, 10/168 is approximately 5.95%.

3. Understanding the Result:

The simplified fraction 5/84 and the percentage 5.95% represent the proportional relationship between 10 and 168. This means that 10 is approximately 5.95% of 168. This can be useful in various contexts, such as calculating percentages in business, finance, or everyday life.

In summary:

• Simplified Fraction: 5/84
• Percentage: Approximately 5.95%

This process demonstrates a fundamental skill in mathematics: simplifying fractions and converting them to percentages. Understanding these concepts is crucial for various applications across different fields.