Converting 41.12864 to a Fraction
Step-by-step explanation of how to convert 41.12864 to a fraction
Result
41.12864 =
128527
3125
Mixed number:
41
402
3125
Step 1: Identify the number of decimal places
The decimal 41.12864 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
41.12864 × 100000 = 4112864
Step 3: Write as a fraction
41.12864 =
4112864
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4112864 and 100000.
GCD(4112864, 100000) = 32
Divide both the numerator and denominator by the GCD:
4112864
100000
=
4112864 ÷ 32
100000 ÷ 32
=
128527
3125
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