Converting 20.405 to a Fraction
Step-by-step explanation of how to convert 20.405 to a fraction

Result

20.405 =
4081
200
Mixed number:
20
81
200

Step 1: Identify the number of decimal places

The decimal 20.405 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

20.405 × 1000 = 20405

Step 3: Write as a fraction

20.405 =

20405
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20405 and 1000.

GCD(20405, 1000) = 5

Divide both the numerator and denominator by the GCD:

20405
1000

=

20405 ÷ 5
1000 ÷ 5

=

4081
200
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