Converting 0.11205 to a Fraction
Step-by-step explanation of how to convert 0.11205 to a fraction

Result

0.11205 =
2241
20000

Step 1: Identify the number of decimal places

The decimal 0.11205 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.11205 × 100000 = 11205

Step 3: Write as a fraction

0.11205 =

11205
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11205 and 100000.

GCD(11205, 100000) = 5

Divide both the numerator and denominator by the GCD:

11205
100000

=

11205 ÷ 5
100000 ÷ 5

=

2241
20000
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