What is 0.125 as a Fraction?

The fraction equivalent of 0.125 is \(\frac{1}{8}\)

Step-by-Step Solution

Step 1: Identify the decimal number

We want to convert the decimal 0.125 to a fraction.

Step 2: Write as a fraction with 1 as the denominator

First, we write 0.125 as a fraction with 1 as the denominator:

\(0.125 = \frac{0.125}{1}\)

Step 3: Count the decimal places

The decimal 0.125 has 3 decimal places.

Step 4: Multiply to remove the decimal point

We multiply both the numerator and denominator by 103 to remove the decimal point:

\(\frac{0.125}{1} \times \frac{1000}{1000} = \frac{125}{1000}\)

Step 5: Simplify the fraction

We need to simplify this fraction by dividing both numbers by their greatest common divisor (GCD).

The GCD of 125 and 1000 is 125.

\(\frac{125}{1000} = \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}\)

Final Answer

The decimal 0.125 as a fraction is \(\frac{1}{8}\)

Try Another Conversion

Related Conversions

0.03 as a fraction
\( \frac{3}{100} \)
0.06 as a fraction
\( \frac{3}{50} \)
0.1 as a fraction
\( \frac{1}{10} \)
0.2 as a fraction
\( \frac{1}{5} \)
0.23 as a fraction
\( \frac{23}{100} \)
0.25 as a fraction
\( \frac{1}{4} \)

Understanding Decimal to Fraction Conversion

What are Decimals?

Decimals are a way of writing numbers that aren't whole numbers. They use a decimal point to separate the whole number part from the fractional part. For example, in 0.125, the whole number part is 0 and the decimal part is 0.125.

Converting Decimals to Fractions

To convert a decimal to a fraction:

  1. Write the decimal number as a fraction with 1 as the denominator
  2. Multiply both the numerator and denominator by a power of 10 to remove the decimal point
  3. Simplify the fraction if possible

Did You Know?

Every terminating decimal can be written as a fraction where the denominator is a power of 10 or a number that only contains the prime factors 2 and 5.