Converting 20.385 to a Fraction
Step-by-step explanation of how to convert 20.385 to a fraction

Result

20.385 =
4077
200
Mixed number:
20
77
200

Step 1: Identify the number of decimal places

The decimal 20.385 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

20.385 × 1000 = 20385

Step 3: Write as a fraction

20.385 =

20385
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20385 and 1000.

GCD(20385, 1000) = 5

Divide both the numerator and denominator by the GCD:

20385
1000

=

20385 ÷ 5
1000 ÷ 5

=

4077
200
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