Converting 30.8684 to a Fraction
Step-by-step explanation of how to convert 30.8684 to a fraction

Result

30.8684 =
77171
2500
Mixed number:
30
2171
2500

Step 1: Identify the number of decimal places

The decimal 30.8684 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.8684 × 10000 = 308684

Step 3: Write as a fraction

30.8684 =

308684
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 308684 and 10000.

GCD(308684, 10000) = 4

Divide both the numerator and denominator by the GCD:

308684
10000

=

308684 ÷ 4
10000 ÷ 4

=

77171
2500
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