Converting 8.9819 to a Fraction
Step-by-step explanation of how to convert 8.9819 to a fraction

Result

8.9819 =
89819
10000
Mixed number:
8
9819
10000

Step 1: Identify the number of decimal places

The decimal 8.9819 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.9819 × 10000 = 89819

Step 3: Write as a fraction

8.9819 =

89819
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 89819 and 10000.

GCD(89819, 10000) = 1

Divide both the numerator and denominator by the GCD:

89819
10000

=

89819 ÷ 1
10000 ÷ 1

=

89819
10000
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