0.333 as a Fraction
Convert the decimal 0.333 to a fraction with step-by-step explanation.
Answer:
0.333 = \frac{333}{1000}
Step-by-Step Solution
Step 1
Identify the Decimal
We need to convert 0.333 to a fraction.
This is a terminating decimal.
0.333 = ?
Step 2
Count Decimal Places
The decimal part is '333'
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 = 333, Denominator = 1000
0.333 = \frac{333}{1000}
Step 4
Check for Simplification
The GCF of 333 and 1000 is 1.
The fraction is already in lowest terms.
\frac{333}{1000} \text{ (already simplified)}
Step 5
Final Answer
The decimal 0.333 as a fraction is 333/1000
0.333 = \frac{333}{1000}