Converting 30.84 to a Fraction
Step-by-step explanation of how to convert 30.84 to a fraction

Result

30.84 =
771
25
Mixed number:
30
21
25

Step 1: Identify the number of decimal places

The decimal 30.84 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

30.84 × 100 = 3084

Step 3: Write as a fraction

30.84 =

3084
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3084 and 100.

GCD(3084, 100) = 4

Divide both the numerator and denominator by the GCD:

3084
100

=

3084 ÷ 4
100 ÷ 4

=

771
25
Related Conversions
Other decimal to fraction conversions you might find useful