Converting 30.464 to a Fraction
Step-by-step explanation of how to convert 30.464 to a fraction

Result

30.464 =
3808
125
Mixed number:
30
58
125

Step 1: Identify the number of decimal places

The decimal 30.464 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.464 × 1000 = 30464

Step 3: Write as a fraction

30.464 =

30464
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30464 and 1000.

GCD(30464, 1000) = 8

Divide both the numerator and denominator by the GCD:

30464
1000

=

30464 ÷ 8
1000 ÷ 8

=

3808
125
Related Conversions
Other decimal to fraction conversions you might find useful