4/52 simplified

Simplifying 4/52: A Step-by-Step Solution

Introduction

In this article, we will explore how to simplify the fraction 4/52. We will explain what the question means, provide the answer upfront, and then guide you through the process of simplifying the fraction step by step. Additionally, we will provide solved examples and explain how to find the greatest common divisor (GCD) or highest common factor (HCF) of two numbers.

What does the question mean?

The question "What is the answer to 4/52 simplified?" is asking us to simplify the fraction 4/52 to its simplest form. Simplifying a fraction involves finding the smallest possible whole numbers that can replace the numerator and denominator while maintaining the same ratio.

Answer: 4/52 simplified

The simplified form of 4/52 is 1/13.

Method: Tips

To simplify a fraction, we can 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 simplify 4/52 step by step:

Step 1: Find the GCD (or HCF) of 4 and 52. To find the GCD, we can list the factors of both numbers:

• Factors of 4: 1, 2, 4
• Factors of 52: 1, 2, 4, 13, 26, 52

The common factor between 4 and 52 is 4. Therefore, the GCD is 4.

Step 2: Divide both the numerator and denominator by the GCD. Dividing 4 by 4 gives us 1, and dividing 52 by 4 gives us 13.

Step 3: The simplified fraction is 1/13.

Solved Examples

Example 1: Simplify 6/72. Step 1: Find the GCD of 6 and 72.

• Factors of 6: 1, 2, 3, 6
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The common factor between 6 and 72 is 6. Therefore, the GCD is 6.

Step 2: Divide both the numerator and denominator by the GCD. Dividing 6 by 6 gives us 1, and dividing 72 by 6 gives us 12.

Step 3: The simplified fraction is 1/12.

Example 2: Simplify 15/45. Step 1: Find the GCD of 15 and 45.

• Factors of 15: 1, 3, 5, 15
• Factors of 45: 1, 3, 5, 9, 15, 45

The common factor between 15 and 45 is 15. Therefore, the GCD is 15.

Step 2: Divide both the numerator and denominator by the GCD. Dividing 15 by 15 gives us 1, and dividing 45 by 15 gives us 3.

Step 3: The simplified fraction is 1/3.

How to find GCD (or HCF)?

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

1. List 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 24 and 36:

• Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors between 24 and 36 are 1, 2, 3, 4, 6, and 12. The largest common factor is 12, so the GCD (or HCF) of 24 and 36 is 12.

Conclusion

In this article, we explored how to simplify the fraction 4/52. We provided the answer upfront, which is 1/13. We then explained the step-by-step process of simplifying the fraction by finding the GCD and dividing both the numerator and denominator by it. Additionally, we provided solved examples and explained how to find the GCD (or HCF) of two numbers.