Converting 0.9819 to a Fraction
Step-by-step explanation of how to convert 0.9819 to a fraction

Result

0.9819 =
9819
10000

Step 1: Identify the number of decimal places

The decimal 0.9819 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.9819 × 10000 = 9819

Step 3: Write as a fraction

0.9819 =

9819
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9819 and 10000.

GCD(9819, 10000) = 1

Divide both the numerator and denominator by the GCD:

9819
10000

=

9819 ÷ 1
10000 ÷ 1

=

9819
10000
Related Conversions
Other decimal to fraction conversions you might find useful