Converting 30.7984 to a Fraction
Step-by-step explanation of how to convert 30.7984 to a fraction

Result

30.7984 =
19249
625
Mixed number:
30
499
625

Step 1: Identify the number of decimal places

The decimal 30.7984 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.7984 × 10000 = 307984

Step 3: Write as a fraction

30.7984 =

307984
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 307984 and 10000.

GCD(307984, 10000) = 16

Divide both the numerator and denominator by the GCD:

307984
10000

=

307984 ÷ 16
10000 ÷ 16

=

19249
625
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