Converting 0.39815 to a Fraction
Step-by-step explanation of how to convert 0.39815 to a fraction

Result

0.39815 =
7963
20000

Step 1: Identify the number of decimal places

The decimal 0.39815 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.39815 × 100000 = 39815

Step 3: Write as a fraction

0.39815 =

39815
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39815 and 100000.

GCD(39815, 100000) = 5

Divide both the numerator and denominator by the GCD:

39815
100000

=

39815 ÷ 5
100000 ÷ 5

=

7963
20000
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