Converting 41.1808 to a Fraction
Step-by-step explanation of how to convert 41.1808 to a fraction
Result
41.1808 =
25738
625
Mixed number:
41
113
625
Step 1: Identify the number of decimal places
The decimal 41.1808 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
41.1808 × 10000 = 411808
Step 3: Write as a fraction
41.1808 =
411808
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 411808 and 10000.
GCD(411808, 10000) = 16
Divide both the numerator and denominator by the GCD:
411808
10000
=
411808 ÷ 16
10000 ÷ 16
=
25738
625
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