Converting 3.42142 to a Fraction
Step-by-step explanation of how to convert 3.42142 to a fraction
Result
3.42142 =
171071
50000
Mixed number:
3
21071
50000
Step 1: Identify the number of decimal places
The decimal 3.42142 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.42142 × 100000 = 342142
Step 3: Write as a fraction
3.42142 =
342142
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 342142 and 100000.
GCD(342142, 100000) = 2
Divide both the numerator and denominator by the GCD:
342142
100000
=
342142 ÷ 2
100000 ÷ 2
=
171071
50000
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