28/6 simplified

Guri Bee

less than a minute read

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22-10-2024

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Simplifying Fractions: 28/6 Explained

Fractions represent parts of a whole. Sometimes, fractions can be simplified, making them easier to understand and work with. Let's explore simplifying the fraction 28/6.

Understanding Simplification

Simplifying a fraction means finding an equivalent fraction with smaller numbers in the numerator (top) and denominator (bottom). We do this by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.

Finding the Greatest Common Factor (GCF)

The GCF is the largest number that divides both the numerator and denominator without leaving a remainder. Here's how to find the GCF of 28 and 6:

1. Factor each number:
   • 28: 1, 2, 4, 7, 14, 28
   • 6: 1, 2, 3, 6
2. Identify the common factors: 1 and 2 are common factors of 28 and 6.
3. The greatest common factor: The largest common factor is 2.

Simplifying 28/6

Now that we know the GCF is 2, we divide both the numerator and denominator by 2:

• 28 / 2 = 14
• 6 / 2 = 3

Therefore, 28/6 simplified is 14/3.

Additional Insights:

• Mixed Number Representation: 14/3 can also be expressed as a mixed number, which is a combination of a whole number and a fraction. Since 3 goes into 14 four times with a remainder of 2, 14/3 is equivalent to 4 2/3.
• Real-World Application: Imagine you have a pizza cut into 6 slices. You eat 28 pieces of this pizza. Simplifying the fraction 28/6 helps you understand that you ate 4 whole pizzas and 2/3 of another pizza.

Key Takeaways:

• Simplifying fractions makes them easier to work with.
• The GCF helps us find equivalent fractions with smaller numbers.
• Fractions can be expressed in different forms (improper fraction, mixed number).
• Understanding fractions is crucial for various real-life applications.

This article is a clear and concise explanation of simplifying fractions, particularly focusing on the example of 28/6. By providing step-by-step instructions and real-world applications, it aims to make the concept easier to understand and grasp.