Converting 59.8208 to a Fraction
Step-by-step explanation of how to convert 59.8208 to a fraction
Result
59.8208 =
37388
625
Mixed number:
59
513
625
Step 1: Identify the number of decimal places
The decimal 59.8208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
59.8208 × 10000 = 598208
Step 3: Write as a fraction
59.8208 =
598208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 598208 and 10000.
GCD(598208, 10000) = 16
Divide both the numerator and denominator by the GCD:
598208
10000
=
598208 ÷ 16
10000 ÷ 16
=
37388
625
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