Converting 0.1 to a Fraction
Step-by-step explanation of how to convert 0.1 to a fraction

Result

0.1 =
1
10

Step 1: Identify the number of decimal places

The decimal 0.1 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

0.1 × 10 = 1

Step 3: Write as a fraction

0.1 =

1
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1 and 10.

GCD(1, 10) = 1

Divide both the numerator and denominator by the GCD:

1
10

=

1 ÷ 1
10 ÷ 1

=

1
10
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