Converting 40.71256 to a Fraction
Step-by-step explanation of how to convert 40.71256 to a fraction
Result
40.71256 =
508907
12500
Mixed number:
40
8907
12500
Step 1: Identify the number of decimal places
The decimal 40.71256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.71256 × 100000 = 4071256
Step 3: Write as a fraction
40.71256 =
4071256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4071256 and 100000.
GCD(4071256, 100000) = 8
Divide both the numerator and denominator by the GCD:
4071256
100000
=
4071256 ÷ 8
100000 ÷ 8
=
508907
12500
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