Converting 0.285 to a Fraction
Step-by-step explanation of how to convert 0.285 to a fraction
Result
0.285 =
57
200
Step 1: Identify the number of decimal places
The decimal 0.285 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.285 × 1000 = 285
Step 3: Write as a fraction
0.285 =
285
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 285 and 1000.
GCD(285, 1000) = 5
Divide both the numerator and denominator by the GCD:
285
1000
=
285 ÷ 5
1000 ÷ 5
=
57
200
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