Converting 3.92142 to a Fraction
Step-by-step explanation of how to convert 3.92142 to a fraction
Result
3.92142 =
196071
50000
Mixed number:
3
46071
50000
Step 1: Identify the number of decimal places
The decimal 3.92142 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.92142 × 100000 = 392142
Step 3: Write as a fraction
3.92142 =
392142
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 392142 and 100000.
GCD(392142, 100000) = 2
Divide both the numerator and denominator by the GCD:
392142
100000
=
392142 ÷ 2
100000 ÷ 2
=
196071
50000
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