Converting 83.2208 to a Fraction
Step-by-step explanation of how to convert 83.2208 to a fraction
Result
83.2208 =
52013
625
Mixed number:
83
138
625
Step 1: Identify the number of decimal places
The decimal 83.2208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
83.2208 × 10000 = 832208
Step 3: Write as a fraction
83.2208 =
832208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 832208 and 10000.
GCD(832208, 10000) = 16
Divide both the numerator and denominator by the GCD:
832208
10000
=
832208 ÷ 16
10000 ÷ 16
=
52013
625
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