Converting 83.2304 to a Fraction
Step-by-step explanation of how to convert 83.2304 to a fraction
Result
83.2304 =
52019
625
Mixed number:
83
144
625
Step 1: Identify the number of decimal places
The decimal 83.2304 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
83.2304 × 10000 = 832304
Step 3: Write as a fraction
83.2304 =
832304
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 832304 and 10000.
GCD(832304, 10000) = 16
Divide both the numerator and denominator by the GCD:
832304
10000
=
832304 ÷ 16
10000 ÷ 16
=
52019
625
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