Converting 30.986 to a Fraction
Step-by-step explanation of how to convert 30.986 to a fraction

Result

30.986 =
15493
500
Mixed number:
30
493
500

Step 1: Identify the number of decimal places

The decimal 30.986 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.986 × 1000 = 30986

Step 3: Write as a fraction

30.986 =

30986
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30986 and 1000.

GCD(30986, 1000) = 2

Divide both the numerator and denominator by the GCD:

30986
1000

=

30986 ÷ 2
1000 ÷ 2

=

15493
500
Related Conversions
Other decimal to fraction conversions you might find useful