Converting 30.398 to a Fraction
Step-by-step explanation of how to convert 30.398 to a fraction

Result

30.398 =
15199
500
Mixed number:
30
199
500

Step 1: Identify the number of decimal places

The decimal 30.398 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.398 × 1000 = 30398

Step 3: Write as a fraction

30.398 =

30398
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30398 and 1000.

GCD(30398, 1000) = 2

Divide both the numerator and denominator by the GCD:

30398
1000

=

30398 ÷ 2
1000 ÷ 2

=

15199
500
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