0.666 as a Fraction

Convert the decimal 0.666 to a fraction with step-by-step explanation.

Answer: 0.666 = \frac{333}{500}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 0.666 to a fraction.

This is a terminating decimal.

0.666 = ?

Step 2 Count Decimal Places

The decimal part is '666'

There are 3 digits after the decimal point.

The denominator will be 1000

\text{Denominator} = 10^3 = 1000

Step 3 Create the Fraction

Remove the decimal point and use the number as the numerator.

Numerator = 666, Denominator = 1000

0.666 = \frac{666}{1000}

Step 4 Simplify the Fraction

Find the GCF of 666 and 1000: 2

Divide both by 2

\frac{666}{1000} = \frac{333}{500}

Step 5 Final Answer

The decimal 0.666 as a fraction is 333/500

0.666 = \frac{333}{500}