Converting 0.284326 to a Fraction
Step-by-step explanation of how to convert 0.284326 to a fraction

Result

0.284326 =
142163
500000

Step 1: Identify the number of decimal places

The decimal 0.284326 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.284326 × 1000000 = 284326

Step 3: Write as a fraction

0.284326 =

284326
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 284326 and 1000000.

GCD(284326, 1000000) = 2

Divide both the numerator and denominator by the GCD:

284326
1000000

=

284326 ÷ 2
1000000 ÷ 2

=

142163
500000
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