Converting 0.282384 to a Fraction
Step-by-step explanation of how to convert 0.282384 to a fraction
Result
0.282384 =
17649
62500
Step 1: Identify the number of decimal places
The decimal 0.282384 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.282384 × 1000000 = 282384
Step 3: Write as a fraction
0.282384 =
282384
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 282384 and 1000000.
GCD(282384, 1000000) = 16
Divide both the numerator and denominator by the GCD:
282384
1000000
=
282384 ÷ 16
1000000 ÷ 16
=
17649
62500
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