Converting 36.5664 to a Fraction
Step-by-step explanation of how to convert 36.5664 to a fraction
Result
36.5664 =
22854
625
Mixed number:
36
354
625
Step 1: Identify the number of decimal places
The decimal 36.5664 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.5664 × 10000 = 365664
Step 3: Write as a fraction
36.5664 =
365664
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 365664 and 10000.
GCD(365664, 10000) = 16
Divide both the numerator and denominator by the GCD:
365664
10000
=
365664 ÷ 16
10000 ÷ 16
=
22854
625
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