Converting 56.3664 to a Fraction
Step-by-step explanation of how to convert 56.3664 to a fraction
Result
56.3664 =
35229
625
Mixed number:
56
229
625
Step 1: Identify the number of decimal places
The decimal 56.3664 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
56.3664 × 10000 = 563664
Step 3: Write as a fraction
56.3664 =
563664
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 563664 and 10000.
GCD(563664, 10000) = 16
Divide both the numerator and denominator by the GCD:
563664
10000
=
563664 ÷ 16
10000 ÷ 16
=
35229
625
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