Converting 41.78256 to a Fraction
Step-by-step explanation of how to convert 41.78256 to a fraction
Result
41.78256 =
261141
6250
Mixed number:
41
4891
6250
Step 1: Identify the number of decimal places
The decimal 41.78256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
41.78256 × 100000 = 4178256
Step 3: Write as a fraction
41.78256 =
4178256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4178256 and 100000.
GCD(4178256, 100000) = 16
Divide both the numerator and denominator by the GCD:
4178256
100000
=
4178256 ÷ 16
100000 ÷ 16
=
261141
6250
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