Converting 3.819 to a Fraction
Step-by-step explanation of how to convert 3.819 to a fraction

Result

3.819 =
3819
1000
Mixed number:
3
819
1000

Step 1: Identify the number of decimal places

The decimal 3.819 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.819 × 1000 = 3819

Step 3: Write as a fraction

3.819 =

3819
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3819 and 1000.

GCD(3819, 1000) = 1

Divide both the numerator and denominator by the GCD:

3819
1000

=

3819 ÷ 1
1000 ÷ 1

=

3819
1000
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