Converting 0.204875 to a Fraction
Step-by-step explanation of how to convert 0.204875 to a fraction
Result
0.204875 =
1639
8000
Step 1: Identify the number of decimal places
The decimal 0.204875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.204875 × 1000000 = 204875
Step 3: Write as a fraction
0.204875 =
204875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 204875 and 1000000.
GCD(204875, 1000000) = 125
Divide both the numerator and denominator by the GCD:
204875
1000000
=
204875 ÷ 125
1000000 ÷ 125
=
1639
8000
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