Converting 0.204 to a Fraction
Step-by-step explanation of how to convert 0.204 to a fraction
Result
0.204 =
51
250
Step 1: Identify the number of decimal places
The decimal 0.204 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.204 × 1000 = 204
Step 3: Write as a fraction
0.204 =
204
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 204 and 1000.
GCD(204, 1000) = 4
Divide both the numerator and denominator by the GCD:
204
1000
=
204 ÷ 4
1000 ÷ 4
=
51
250
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