Converting 75.8304 to a Fraction
Step-by-step explanation of how to convert 75.8304 to a fraction
Result
75.8304 =
47394
625
Mixed number:
75
519
625
Step 1: Identify the number of decimal places
The decimal 75.8304 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
75.8304 × 10000 = 758304
Step 3: Write as a fraction
75.8304 =
758304
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 758304 and 10000.
GCD(758304, 10000) = 16
Divide both the numerator and denominator by the GCD:
758304
10000
=
758304 ÷ 16
10000 ÷ 16
=
47394
625
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