Converting 0.15815 to a Fraction
Step-by-step explanation of how to convert 0.15815 to a fraction

Result

0.15815 =
3163
20000

Step 1: Identify the number of decimal places

The decimal 0.15815 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.15815 × 100000 = 15815

Step 3: Write as a fraction

0.15815 =

15815
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15815 and 100000.

GCD(15815, 100000) = 5

Divide both the numerator and denominator by the GCD:

15815
100000

=

15815 ÷ 5
100000 ÷ 5

=

3163
20000
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