Converting 33.1808 to a Fraction
Step-by-step explanation of how to convert 33.1808 to a fraction

Result

33.1808 =
20738
625
Mixed number:
33
113
625

Step 1: Identify the number of decimal places

The decimal 33.1808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.1808 × 10000 = 331808

Step 3: Write as a fraction

33.1808 =

331808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 331808 and 10000.

GCD(331808, 10000) = 16

Divide both the numerator and denominator by the GCD:

331808
10000

=

331808 ÷ 16
10000 ÷ 16

=

20738
625
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