Converting 30.882 to a Fraction
Step-by-step explanation of how to convert 30.882 to a fraction

Result

30.882 =
15441
500
Mixed number:
30
441
500

Step 1: Identify the number of decimal places

The decimal 30.882 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.882 × 1000 = 30882

Step 3: Write as a fraction

30.882 =

30882
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30882 and 1000.

GCD(30882, 1000) = 2

Divide both the numerator and denominator by the GCD:

30882
1000

=

30882 ÷ 2
1000 ÷ 2

=

15441
500
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