Converting 0.200395 to a Fraction
Step-by-step explanation of how to convert 0.200395 to a fraction

Result

0.200395 =
40079
200000

Step 1: Identify the number of decimal places

The decimal 0.200395 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.200395 × 1000000 = 200395

Step 3: Write as a fraction

0.200395 =

200395
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 200395 and 1000000.

GCD(200395, 1000000) = 5

Divide both the numerator and denominator by the GCD:

200395
1000000

=

200395 ÷ 5
1000000 ÷ 5

=

40079
200000
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