Converting 40.13984 to a Fraction
Step-by-step explanation of how to convert 40.13984 to a fraction
Result
40.13984 =
125437
3125
Mixed number:
40
437
3125
Step 1: Identify the number of decimal places
The decimal 40.13984 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.13984 × 100000 = 4013984
Step 3: Write as a fraction
40.13984 =
4013984
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4013984 and 100000.
GCD(4013984, 100000) = 32
Divide both the numerator and denominator by the GCD:
4013984
100000
=
4013984 ÷ 32
100000 ÷ 32
=
125437
3125
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