Converting 41.204928 to a Fraction
Step-by-step explanation of how to convert 41.204928 to a fraction
Result
41.204928 =
643827
15625
Mixed number:
41
3202
15625
Step 1: Identify the number of decimal places
The decimal 41.204928 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
41.204928 × 1000000 = 41204928
Step 3: Write as a fraction
41.204928 =
41204928
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 41204928 and 1000000.
GCD(41204928, 1000000) = 64
Divide both the numerator and denominator by the GCD:
41204928
1000000
=
41204928 ÷ 64
1000000 ÷ 64
=
643827
15625
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