Converting 12.822 to a Fraction
Step-by-step explanation of how to convert 12.822 to a fraction
Result
12.822 =
6411
500
Mixed number:
12
411
500
Step 1: Identify the number of decimal places
The decimal 12.822 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.822 × 1000 = 12822
Step 3: Write as a fraction
12.822 =
12822
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12822 and 1000.
GCD(12822, 1000) = 2
Divide both the numerator and denominator by the GCD:
12822
1000
=
12822 ÷ 2
1000 ÷ 2
=
6411
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions