Converting 27.2304 to a Fraction
Step-by-step explanation of how to convert 27.2304 to a fraction

Result

27.2304 =
17019
625
Mixed number:
27
144
625

Step 1: Identify the number of decimal places

The decimal 27.2304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.2304 × 10000 = 272304

Step 3: Write as a fraction

27.2304 =

272304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 272304 and 10000.

GCD(272304, 10000) = 16

Divide both the numerator and denominator by the GCD:

272304
10000

=

272304 ÷ 16
10000 ÷ 16

=

17019
625
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