Converting 40.11904 to a Fraction
Step-by-step explanation of how to convert 40.11904 to a fraction
Result
40.11904 =
125372
3125
Mixed number:
40
372
3125
Step 1: Identify the number of decimal places
The decimal 40.11904 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.11904 × 100000 = 4011904
Step 3: Write as a fraction
40.11904 =
4011904
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4011904 and 100000.
GCD(4011904, 100000) = 32
Divide both the numerator and denominator by the GCD:
4011904
100000
=
4011904 ÷ 32
100000 ÷ 32
=
125372
3125
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