Converting 0.285213 to a Fraction
Step-by-step explanation of how to convert 0.285213 to a fraction

Result

0.285213 =
285213
1000000

Step 1: Identify the number of decimal places

The decimal 0.285213 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.285213 × 1000000 = 285213

Step 3: Write as a fraction

0.285213 =

285213
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 285213 and 1000000.

GCD(285213, 1000000) = 1

Divide both the numerator and denominator by the GCD:

285213
1000000

=

285213 ÷ 1
1000000 ÷ 1

=

285213
1000000
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