Converting 17.8204 to a Fraction
Step-by-step explanation of how to convert 17.8204 to a fraction

Result

17.8204 =
44551
2500
Mixed number:
17
2051
2500

Step 1: Identify the number of decimal places

The decimal 17.8204 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

17.8204 × 10000 = 178204

Step 3: Write as a fraction

17.8204 =

178204
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 178204 and 10000.

GCD(178204, 10000) = 4

Divide both the numerator and denominator by the GCD:

178204
10000

=

178204 ÷ 4
10000 ÷ 4

=

44551
2500
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