Converting 27.1808 to a Fraction
Step-by-step explanation of how to convert 27.1808 to a fraction

Result

27.1808 =
16988
625
Mixed number:
27
113
625

Step 1: Identify the number of decimal places

The decimal 27.1808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.1808 × 10000 = 271808

Step 3: Write as a fraction

27.1808 =

271808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 271808 and 10000.

GCD(271808, 10000) = 16

Divide both the numerator and denominator by the GCD:

271808
10000

=

271808 ÷ 16
10000 ÷ 16

=

16988
625
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