simplify 28 100

Guri Bee

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22-10-2024

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Simplifying Fractions: A Step-by-Step Guide with 28/100

Fractions are a fundamental part of mathematics, representing parts of a whole. Simplifying fractions, also known as reducing fractions, makes them easier to understand and work with. In this article, we'll explore how to simplify the fraction 28/100, providing a clear and concise explanation.

Understanding Simplification

Simplifying a fraction means finding an equivalent fraction with the smallest possible numerator and denominator. This is achieved by dividing both the numerator and denominator by their greatest common factor (GCF).

Finding the GCF

1. Identify Factors: List the factors of both 28 and 100.

   • Factors of 28: 1, 2, 4, 7, 14, 28
   • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

2. Find the Greatest Common Factor: The largest number that appears in both lists is 4. Therefore, the GCF of 28 and 100 is 4.

Simplifying 28/100

1. Divide Numerator and Denominator by GCF: Divide both 28 and 100 by 4.

   • 28 ÷ 4 = 7
   • 100 ÷ 4 = 25

2. The Simplified Fraction: The simplified form of 28/100 is 7/25.

Practical Applications

Simplifying fractions is important in various real-life situations:

• Cooking: Recipes often use fractions, and simplifying them makes it easier to measure ingredients.
• Construction: Contractors use fractions when calculating dimensions and materials.
• Finance: Fractions are used to represent percentages and interest rates.

Additional Insights

• Prime Numbers: If the numerator and denominator are both prime numbers, the fraction is already in its simplest form.
• Visual Representation: Imagine a pizza cut into 100 slices. 28 slices represent 28/100 of the pizza. Simplifying to 7/25 means dividing the pizza into 25 slices and taking 7 of them, representing the same amount of pizza.

Conclusion

Simplifying fractions is an essential skill in mathematics. By following these steps, you can easily reduce any fraction to its simplest form, making it easier to understand and manipulate. Remember to always look for the GCF and divide both the numerator and denominator by it.