Converting 36.9584 to a Fraction
Step-by-step explanation of how to convert 36.9584 to a fraction
Result
36.9584 =
23099
625
Mixed number:
36
599
625
Step 1: Identify the number of decimal places
The decimal 36.9584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.9584 × 10000 = 369584
Step 3: Write as a fraction
36.9584 =
369584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 369584 and 10000.
GCD(369584, 10000) = 16
Divide both the numerator and denominator by the GCD:
369584
10000
=
369584 ÷ 16
10000 ÷ 16
=
23099
625
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