Converting 0.09855 to a Fraction
Step-by-step explanation of how to convert 0.09855 to a fraction

Result

0.09855 =
1971
20000

Step 1: Identify the number of decimal places

The decimal 0.09855 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.09855 × 100000 = 9855

Step 3: Write as a fraction

0.09855 =

9855
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9855 and 100000.

GCD(9855, 100000) = 5

Divide both the numerator and denominator by the GCD:

9855
100000

=

9855 ÷ 5
100000 ÷ 5

=

1971
20000
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