Converting 0.289256 to a Fraction
Step-by-step explanation of how to convert 0.289256 to a fraction
Result
0.289256 =
36157
125000
Step 1: Identify the number of decimal places
The decimal 0.289256 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.289256 × 1000000 = 289256
Step 3: Write as a fraction
0.289256 =
289256
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 289256 and 1000000.
GCD(289256, 1000000) = 8
Divide both the numerator and denominator by the GCD:
289256
1000000
=
289256 ÷ 8
1000000 ÷ 8
=
36157
125000
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