Converting 27.4864 to a Fraction
Step-by-step explanation of how to convert 27.4864 to a fraction

Result

27.4864 =
17179
625
Mixed number:
27
304
625

Step 1: Identify the number of decimal places

The decimal 27.4864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.4864 × 10000 = 274864

Step 3: Write as a fraction

27.4864 =

274864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 274864 and 10000.

GCD(274864, 10000) = 16

Divide both the numerator and denominator by the GCD:

274864
10000

=

274864 ÷ 16
10000 ÷ 16

=

17179
625
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