Converting 37.6584 to a Fraction
Step-by-step explanation of how to convert 37.6584 to a fraction
Result
37.6584 =
47073
1250
Mixed number:
37
823
1250
Step 1: Identify the number of decimal places
The decimal 37.6584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.6584 × 10000 = 376584
Step 3: Write as a fraction
37.6584 =
376584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 376584 and 10000.
GCD(376584, 10000) = 8
Divide both the numerator and denominator by the GCD:
376584
10000
=
376584 ÷ 8
10000 ÷ 8
=
47073
1250
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