**6.66666 as a Fraction in Simplest Form**

**Introduction**

When dealing with decimals, it's often necessary to convert them to fractions in simplest form. In this article, we'll explore how to convert the decimal 6.66666 to a fraction in its simplest form.

**Converting 6.66666 to a Fraction**

To convert 6.66666 to a fraction, we can use the following steps:

### Step 1: Write the decimal as a fraction with a denominator of 1

6.66666 = 6.66666/1

### Step 2: Multiply the numerator and denominator by 10 to remove the decimal point

6.66666/1 = 66.6666/10

### Step 3: Repeat Step 2 until the decimal point is removed

66.6666/10 = 666.666/100 = 6666.66/1000

### Step 4: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD)

The GCD of 6666.66 and 1000 is 2. Therefore,

6666.66/1000 = 3333.33/500

### Step 5: Simplify further by dividing both numerator and denominator by their GCD

The GCD of 3333.33 and 500 is 1. Therefore,

3333.33/500 = **2/3**

**Result**

The decimal 6.66666 can be written as a fraction in simplest form as **2/3**.

**Conclusion**

In conclusion, we've successfully converted the decimal 6.66666 to a fraction in simplest form, which is **2/3**. This process can be applied to convert any decimal to a fraction in simplest form.