Converting 59.4304 to a Fraction
Step-by-step explanation of how to convert 59.4304 to a fraction

Result

59.4304 =
37144
625
Mixed number:
59
269
625

Step 1: Identify the number of decimal places

The decimal 59.4304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

59.4304 × 10000 = 594304

Step 3: Write as a fraction

59.4304 =

594304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 594304 and 10000.

GCD(594304, 10000) = 16

Divide both the numerator and denominator by the GCD:

594304
10000

=

594304 ÷ 16
10000 ÷ 16

=

37144
625
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