Converting 37.6704 to a Fraction
Step-by-step explanation of how to convert 37.6704 to a fraction

Result

37.6704 =
23544
625
Mixed number:
37
419
625

Step 1: Identify the number of decimal places

The decimal 37.6704 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.6704 × 10000 = 376704

Step 3: Write as a fraction

37.6704 =

376704
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 376704 and 10000.

GCD(376704, 10000) = 16

Divide both the numerator and denominator by the GCD:

376704
10000

=

376704 ÷ 16
10000 ÷ 16

=

23544
625
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