Converting 40.77168 to a Fraction
Step-by-step explanation of how to convert 40.77168 to a fraction
Result
40.77168 =
254823
6250
Mixed number:
40
4823
6250
Step 1: Identify the number of decimal places
The decimal 40.77168 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.77168 × 100000 = 4077168
Step 3: Write as a fraction
40.77168 =
4077168
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4077168 and 100000.
GCD(4077168, 100000) = 16
Divide both the numerator and denominator by the GCD:
4077168
100000
=
4077168 ÷ 16
100000 ÷ 16
=
254823
6250
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