3/18 simplified

Simplifying 3/18: A Step-by-Step Solution

Introduction

In this article, we will explore the process of simplifying the fraction 3/18. 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. Let's dive in!

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). By doing so, we obtain a fraction with the smallest possible whole numbers as its numerator and denominator.

Answer: 3/18 simplified

Before we delve into the method, let's first find the answer to the question. The simplified form of 3/18 is 1/6.

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 3/18:

Step 1: Find the GCD (or HCF) of 3 and 18.

• The factors of 3 are 1 and 3.
• The factors of 18 are 1, 2, 3, 6, 9, and 18.
• The GCD of 3 and 18 is 3.

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

• 3 ÷ 3 = 1
• 18 ÷ 3 = 6

Step 3: The simplified fraction is 1/6.

Therefore, 3/18 simplified is equal to 1/6.

Solved Examples

Let's explore a few more examples to solidify our understanding of simplifying fractions:

Example 1: Simplify 4/12.

• GCD of 4 and 12 is 4.
• 4 ÷ 4 = 1
• 12 ÷ 4 = 3
• The simplified fraction is 1/3.

Example 2: Simplify 10/25.

• GCD of 10 and 25 is 5.
• 10 ÷ 5 = 2
• 25 ÷ 5 = 5
• The simplified fraction is 2/5.

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 12 and 18:

• Factors of 12: 1, 2, 3, 4, 6, 12
• Factors of 18: 1, 2, 3, 6, 9, 18
• Common factors: 1, 2, 3, 6
• The GCD of 12 and 18 is 6.

Conclusion

Simplifying fractions involves reducing them to their simplest form by dividing both the numerator and denominator by their GCD or HCF. In the case of 3/18, the simplified form is 1/6. By following the step-by-step solution provided in this article, you can easily simplify any fraction. Remember to find the GCD or HCF by listing the factors and identifying the common factors. Practice with more examples to enhance your understanding of simplifying fractions.