Converting 40.14384 to a Fraction
Step-by-step explanation of how to convert 40.14384 to a fraction
Result
40.14384 =
250899
6250
Mixed number:
40
899
6250
Step 1: Identify the number of decimal places
The decimal 40.14384 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.14384 × 100000 = 4014384
Step 3: Write as a fraction
40.14384 =
4014384
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4014384 and 100000.
GCD(4014384, 100000) = 16
Divide both the numerator and denominator by the GCD:
4014384
100000
=
4014384 ÷ 16
100000 ÷ 16
=
250899
6250
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