Converting 36.6728 to a Fraction
Step-by-step explanation of how to convert 36.6728 to a fraction
Result
36.6728 =
45841
1250
Mixed number:
36
841
1250
Step 1: Identify the number of decimal places
The decimal 36.6728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.6728 × 10000 = 366728
Step 3: Write as a fraction
36.6728 =
366728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 366728 and 10000.
GCD(366728, 10000) = 8
Divide both the numerator and denominator by the GCD:
366728
10000
=
366728 ÷ 8
10000 ÷ 8
=
45841
1250
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