Converting 0.100111 to a Fraction
Step-by-step explanation of how to convert 0.100111 to a fraction

Result

0.100111 =
100111
1000000

Step 1: Identify the number of decimal places

The decimal 0.100111 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.100111 × 1000000 = 100111

Step 3: Write as a fraction

0.100111 =

100111
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 100111 and 1000000.

GCD(100111, 1000000) = 1

Divide both the numerator and denominator by the GCD:

100111
1000000

=

100111 ÷ 1
1000000 ÷ 1

=

100111
1000000
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