Converting 0.209815 to a Fraction
Step-by-step explanation of how to convert 0.209815 to a fraction

Result

0.209815 =
41963
200000

Step 1: Identify the number of decimal places

The decimal 0.209815 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.209815 × 1000000 = 209815

Step 3: Write as a fraction

0.209815 =

209815
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 209815 and 1000000.

GCD(209815, 1000000) = 5

Divide both the numerator and denominator by the GCD:

209815
1000000

=

209815 ÷ 5
1000000 ÷ 5

=

41963
200000
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