4/16 simplified

Simplifying 4/16: A Step-by-Step Solution

Introduction

In this article, we will explore the process of simplifying the fraction 4/16. 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?

The question "What is the answer to 4/16 simplified?" is asking us to find the simplest form of the fraction 4/16. Simplifying a fraction involves reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor.

Answer: 4/16 simplified

Before diving into the method, let's first find the simplified form of 4/16. By dividing both the numerator and denominator by their GCD, we get:

4 ÷ 4 / 16 ÷ 4 = 1/4

Therefore, the simplified form of 4/16 is 1/4.

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 4/16:

Step 1: Find the GCD of 4 and 16.

• The factors of 4 are 1, 2, and 4.
• The factors of 16 are 1, 2, 4, 8, and 16.
• The GCD of 4 and 16 is 4.

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

• 4 ÷ 4 / 16 ÷ 4 = 1/4

Step 3: The resulting fraction, 1/4, is the simplified form of 4/16.

Solved Examples Related to 4/16 Simplified

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

Example 1: Simplify 6/18.

• Step 1: Find the GCD of 6 and 18.
  • The factors of 6 are 1, 2, 3, and 6.
  • The factors of 18 are 1, 2, 3, 6, 9, and 18.
  • The GCD of 6 and 18 is 6.
• Step 2: Divide both the numerator and denominator by the GCD.
  • 6 ÷ 6 / 18 ÷ 6 = 1/3
• Step 3: The simplified form of 6/18 is 1/3.

Example 2: Simplify 12/24.

• Step 1: Find the GCD of 12 and 24.
  • The factors of 12 are 1, 2, 3, 4, 6, and 12.
  • The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
  • The GCD of 12 and 24 is 12.
• Step 2: Divide both the numerator and denominator by the GCD.
  • 12 ÷ 12 / 24 ÷ 12 = 1/2
• Step 3: The simplified form of 12/24 is 1/2.

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 24:

• The factors of 12 are 1, 2, 3, 4, 6, and 12.
• The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
• The common factors are 1, 2, 3, 4, 6, and 12.
• The largest common factor is 12, so the GCD of 12 and 24 is 12.

Conclusion

Simplifying fractions involves finding the simplest form by dividing both the numerator and denominator by their GCD. In the case of 4/16, the simplified form is 1/4. By following the step-by-step solution provided in this article, you can easily simplify fractions and express them in their lowest terms. Remember to find the GCD (or HCF) of the numerator and denominator and divide them accordingly.