8/10 simplified

Simplifying 8/10: A Step-by-Step Guide

Introduction

In this article, we will explore the process of simplifying the fraction 8/10. We will explain what this question means and provide a step-by-step solution to find the simplified form of the fraction. Additionally, we will discuss the concept of finding the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) and provide examples related to simplifying fractions.

What does this question mean?

When we are asked to simplify a fraction, it means we need to express it in its simplest form. This involves reducing the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD) or highest common factor (HCF).

Answer: 8/10 simplified

Before diving into the method, let's find the simplified form of 8/10. The answer is 4/5.

Method: Tips

To simplify a fraction, follow these steps:

1. Find the GCD (or HCF) of the numerator and denominator.
2. Divide both the numerator and denominator by the GCD.
3. The resulting fraction is the simplified form.

Step-by-step solution

Now, let's apply the method to simplify 8/10:

Step 1: Find the GCD of 8 and 10.

• The factors of 8 are 1, 2, 4, and 8.
• The factors of 10 are 1, 2, 5, and 10.
• The common factors are 1 and 2.
• Therefore, the GCD of 8 and 10 is 2.

Step 2: Divide both the numerator and denominator by the GCD.

• Divide 8 by 2: 8/2 = 4.
• Divide 10 by 2: 10/2 = 5.

Step 3: The resulting fraction is 4/5, which is the simplified form of 8/10.

Solved examples related to 8/10 simplified

Example 1: Simplify 12/15.

• Step 1: GCD of 12 and 15 is 3.
• Step 2: Divide 12 by 3: 12/3 = 4. Divide 15 by 3: 15/3 = 5.
• Step 3: The simplified form is 4/5.

Example 2: Simplify 16/20.

• Step 1: GCD of 16 and 20 is 4.
• Step 2: Divide 16 by 4: 16/4 = 4. Divide 20 by 4: 20/4 = 5.
• Step 3: The simplified form is 4/5.

How to find GCD (or HCF)?

To find the GCD (or HCF) of two numbers, follow these steps:

1. List all the factors of both numbers.
2. Identify the common factors.
3. The largest common factor is the GCD (or HCF).

For example, to find the GCD of 8 and 10:

• Factors of 8: 1, 2, 4, 8.
• Factors of 10: 1, 2, 5, 10.
• Common factors: 1, 2.
• GCD: 2.

Conclusion

Simplifying fractions involves finding the GCD (or HCF) of the numerator and denominator and dividing both by it. In the case of 8/10, the simplified form is 4/5. By following the step-by-step solution provided in this article, you can easily simplify fractions and express them in their simplest form.