Converting 30.3632 to a Fraction
Step-by-step explanation of how to convert 30.3632 to a fraction

Result

30.3632 =
18977
625
Mixed number:
30
227
625

Step 1: Identify the number of decimal places

The decimal 30.3632 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.3632 × 10000 = 303632

Step 3: Write as a fraction

30.3632 =

303632
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 303632 and 10000.

GCD(303632, 10000) = 16

Divide both the numerator and denominator by the GCD:

303632
10000

=

303632 ÷ 16
10000 ÷ 16

=

18977
625
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