Converting 0.205142 to a Fraction
Step-by-step explanation of how to convert 0.205142 to a fraction
Result
0.205142 =
102571
500000
Step 1: Identify the number of decimal places
The decimal 0.205142 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.205142 × 1000000 = 205142
Step 3: Write as a fraction
0.205142 =
205142
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 205142 and 1000000.
GCD(205142, 1000000) = 2
Divide both the numerator and denominator by the GCD:
205142
1000000
=
205142 ÷ 2
1000000 ÷ 2
=
102571
500000
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