Converting 1.821 to a Fraction
Step-by-step explanation of how to convert 1.821 to a fraction

Result

1.821 =
1821
1000
Mixed number:
1
821
1000

Step 1: Identify the number of decimal places

The decimal 1.821 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.821 × 1000 = 1821

Step 3: Write as a fraction

1.821 =

1821
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1821 and 1000.

GCD(1821, 1000) = 1

Divide both the numerator and denominator by the GCD:

1821
1000

=

1821 ÷ 1
1000 ÷ 1

=

1821
1000
Related Conversions
Other decimal to fraction conversions you might find useful