Converting 30.824 to a Fraction
Step-by-step explanation of how to convert 30.824 to a fraction

Result

30.824 =
3853
125
Mixed number:
30
103
125

Step 1: Identify the number of decimal places

The decimal 30.824 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.824 × 1000 = 30824

Step 3: Write as a fraction

30.824 =

30824
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30824 and 1000.

GCD(30824, 1000) = 8

Divide both the numerator and denominator by the GCD:

30824
1000

=

30824 ÷ 8
1000 ÷ 8

=

3853
125
Related Conversions
Other decimal to fraction conversions you might find useful