2/10 simplified

Simplifying 2/10: A Step-by-Step Guide

Introduction

In this article, we will explore the process of simplifying the fraction 2/10. 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 its relevance in simplifying fractions.

Understanding the Question

The question "What is the answer to 2/10 simplified?" asks us to find the simplified form of the fraction 2/10. Simplifying a fraction involves reducing it to its simplest form by dividing both the numerator and denominator by their greatest common divisor.

Answer: 2/10 Simplified

Before diving into the method, let's first provide the answer to the question. The simplified form of 2/10 is 1/5.

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 go through the step-by-step solution to simplify 2/10:

Step 1: Find the GCD (or HCF) of 2 and 10.

• The factors of 2 are 1 and 2.
• The factors of 10 are 1, 2, 5, and 10.
• The GCD of 2 and 10 is 2.

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

• 2 ÷ 2 = 1
• 10 ÷ 2 = 5

Step 3: The resulting fraction is 1/5, which is the simplified form of 2/10.

Solved Examples

Let's explore a couple of examples related to simplifying fractions:

Example 1: Simplify 4/12.

• Step 1: The GCD of 4 and 12 is 4.
• Step 2: Divide both the numerator and denominator by 4.
  • 4 ÷ 4 = 1
  • 12 ÷ 4 = 3
• Step 3: The simplified form of 4/12 is 1/3.

Example 2: Simplify 9/27.

• Step 1: The GCD of 9 and 27 is 9.
• Step 2: Divide both the numerator and denominator by 9.
  • 9 ÷ 9 = 1
  • 27 ÷ 9 = 3
• Step 3: The simplified form of 9/27 is 1/3.

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 12 and 18:

• The factors of 12 are 1, 2, 3, 4, 6, and 12.
• The factors of 18 are 1, 2, 3, 6, 9, and 18.
• The common factors are 1, 2, 3, and 6.
• The largest common factor is 6, which is the GCD (or HCF) of 12 and 18.

Conclusion

Simplifying fractions involves finding the GCD (or HCF) of the numerator and denominator and dividing both by this common factor. In the case of 2/10, the simplified form is 1/5. By following the step-by-step solution provided in this article, you can easily simplify fractions and express them in their simplest form.