Converting 37.9204 to a Fraction
Step-by-step explanation of how to convert 37.9204 to a fraction

Result

37.9204 =
94801
2500
Mixed number:
37
2301
2500

Step 1: Identify the number of decimal places

The decimal 37.9204 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.9204 × 10000 = 379204

Step 3: Write as a fraction

37.9204 =

379204
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 379204 and 10000.

GCD(379204, 10000) = 4

Divide both the numerator and denominator by the GCD:

379204
10000

=

379204 ÷ 4
10000 ÷ 4

=

94801
2500
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