0.1 as a Fraction

Convert the decimal 0.1 to a fraction with step-by-step explanation.

Answer: 0.1 = \frac{1}{10}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 0.1 to a fraction.

This is a terminating decimal.

0.1 = ?

Step 2 Count Decimal Places

The decimal part is '1'

There are 1 digits after the decimal point.

The denominator will be 10

\text{Denominator} = 10^1 = 10

Step 3 Create the Fraction

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

Numerator = 1, Denominator = 10

0.1 = \frac{1}{10}

Step 4 Check for Simplification

The GCF of 1 and 10 is 1.

The fraction is already in lowest terms.

\frac{1}{10} \text{ (already simplified)}

Step 5 Final Answer

The decimal 0.1 as a fraction is 1/10

0.1 = \frac{1}{10}