Converting 0.819 to a Fraction
Step-by-step explanation of how to convert 0.819 to a fraction

Result

0.819 =
819
1000

Step 1: Identify the number of decimal places

The decimal 0.819 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.819 × 1000 = 819

Step 3: Write as a fraction

0.819 =

819
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 819 and 1000.

GCD(819, 1000) = 1

Divide both the numerator and denominator by the GCD:

819
1000

=

819 ÷ 1
1000 ÷ 1

=

819
1000
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