Converting 27.405 to a Fraction
Step-by-step explanation of how to convert 27.405 to a fraction

Result

27.405 =
5481
200
Mixed number:
27
81
200

Step 1: Identify the number of decimal places

The decimal 27.405 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.405 × 1000 = 27405

Step 3: Write as a fraction

27.405 =

27405
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27405 and 1000.

GCD(27405, 1000) = 5

Divide both the numerator and denominator by the GCD:

27405
1000

=

27405 ÷ 5
1000 ÷ 5

=

5481
200
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