Converting 27.3184 to a Fraction
Step-by-step explanation of how to convert 27.3184 to a fraction
Result
27.3184 =
17074
625
Mixed number:
27
199
625
Step 1: Identify the number of decimal places
The decimal 27.3184 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.3184 × 10000 = 273184
Step 3: Write as a fraction
27.3184 =
273184
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 273184 and 10000.
GCD(273184, 10000) = 16
Divide both the numerator and denominator by the GCD:
273184
10000
=
273184 ÷ 16
10000 ÷ 16
=
17074
625
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