Converting 40.38872 to a Fraction
Step-by-step explanation of how to convert 40.38872 to a fraction
Result
40.38872 =
504859
12500
Mixed number:
40
4859
12500
Step 1: Identify the number of decimal places
The decimal 40.38872 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.38872 × 100000 = 4038872
Step 3: Write as a fraction
40.38872 =
4038872
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4038872 and 100000.
GCD(4038872, 100000) = 8
Divide both the numerator and denominator by the GCD:
4038872
100000
=
4038872 ÷ 8
100000 ÷ 8
=
504859
12500
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