Converting 0.10089 to a Fraction
Step-by-step explanation of how to convert 0.10089 to a fraction

Result

0.10089 =
10089
100000

Step 1: Identify the number of decimal places

The decimal 0.10089 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.10089 × 100000 = 10089

Step 3: Write as a fraction

0.10089 =

10089
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10089 and 100000.

GCD(10089, 100000) = 1

Divide both the numerator and denominator by the GCD:

10089
100000

=

10089 ÷ 1
100000 ÷ 1

=

10089
100000
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