0.125 as a Fraction
Convert the decimal 0.125 to a fraction with step-by-step explanation.
Answer:
0.125 = \frac{1}{8}
Step-by-Step Solution
Step 1
Identify the Decimal
We need to convert 0.125 to a fraction.
This is a terminating decimal.
0.125 = ?
Step 2
Count Decimal Places
The decimal part is '125'
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 = 125, Denominator = 1000
0.125 = \frac{125}{1000}
Step 4
Simplify the Fraction
Find the GCF of 125 and 1000: 125
Divide both by 125
\frac{125}{1000} = \frac{1}{8}
Step 5
Final Answer
The decimal 0.125 as a fraction is 1/8
0.125 = \frac{1}{8}