Converting 40.13408 to a Fraction
Step-by-step explanation of how to convert 40.13408 to a fraction
Result
40.13408 =
125419
3125
Mixed number:
40
419
3125
Step 1: Identify the number of decimal places
The decimal 40.13408 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.13408 × 100000 = 4013408
Step 3: Write as a fraction
40.13408 =
4013408
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4013408 and 100000.
GCD(4013408, 100000) = 32
Divide both the numerator and denominator by the GCD:
4013408
100000
=
4013408 ÷ 32
100000 ÷ 32
=
125419
3125
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