Converting 30.8512 to a Fraction
Step-by-step explanation of how to convert 30.8512 to a fraction

Result

30.8512 =
19282
625
Mixed number:
30
532
625

Step 1: Identify the number of decimal places

The decimal 30.8512 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.8512 × 10000 = 308512

Step 3: Write as a fraction

30.8512 =

308512
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 308512 and 10000.

GCD(308512, 10000) = 16

Divide both the numerator and denominator by the GCD:

308512
10000

=

308512 ÷ 16
10000 ÷ 16

=

19282
625
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