Converting units can be a tricky task, especially when it involves measurements such as length. In this case, we will be converting centimeters (cm) to inches (in).

Step 1: Understand the basics

Before we begin the conversion, it is important to understand the relationship between centimeters and inches. One inch is equal to 2.54 centimeters. This means that when converting from centimeters to inches, we will need to multiply the value in centimeters by 2.54.

Step 2: Write down the given value

In our case, the given value is 6 cm.

Step 3: Set up the conversion equation

To convert from centimeters to inches, we will use the conversion equation:

inches = centimeters x 2.54

Step 4: Substitute the given value

Substitute the value of 6 cm into the equation:

inches = 6 cm x 2.54

Step 5: Solve the equation

Now we will solve the equation using basic multiplication:

inches = 6 cm x 2.54

inches = 15.24

Step 6: Round off the answer (optional)

It is common to round off the answer to the nearest decimal place. In this case, we will round off the answer to two decimal places, giving us 15.24 inches.

Step 7: Write the final answer

Based on our conversion, 6 centimeters is equal to 15.24 inches.

Step 8: Double check your work

It is always a good idea to double check your work to ensure accuracy. To do this, we can reverse the conversion and convert 15.24 inches back to centimeters. Using the same equation as before, we get:

centimeters = inches / 2.54

centimeters = 15.24 inches / 2.54

centimeters = 6 cm

This confirms that our initial conversion from 6 cm to inches was correct.

In conclusion, to convert 6 centimeters to inches, we first need to understand the conversion ratio between centimeters and inches. Then, we can write and solve a simple conversion equation. It is always important to double check your work to ensure accuracy.