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.
