Converting 0.284125 to a Fraction
Step-by-step explanation of how to convert 0.284125 to a fraction
Result
0.284125 =
2273
8000
Step 1: Identify the number of decimal places
The decimal 0.284125 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.284125 × 1000000 = 284125
Step 3: Write as a fraction
0.284125 =
284125
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284125 and 1000000.
GCD(284125, 1000000) = 125
Divide both the numerator and denominator by the GCD:
284125
1000000
=
284125 ÷ 125
1000000 ÷ 125
=
2273
8000
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