Converting 30.9308 to a Fraction
Step-by-step explanation of how to convert 30.9308 to a fraction

Result

30.9308 =
77327
2500
Mixed number:
30
2327
2500

Step 1: Identify the number of decimal places

The decimal 30.9308 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.9308 × 10000 = 309308

Step 3: Write as a fraction

30.9308 =

309308
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 309308 and 10000.

GCD(309308, 10000) = 4

Divide both the numerator and denominator by the GCD:

309308
10000

=

309308 ÷ 4
10000 ÷ 4

=

77327
2500
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