Converting 83.2256 to a Fraction
Step-by-step explanation of how to convert 83.2256 to a fraction
Result
83.2256 =
52016
625
Mixed number:
83
141
625
Step 1: Identify the number of decimal places
The decimal 83.2256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
83.2256 × 10000 = 832256
Step 3: Write as a fraction
83.2256 =
832256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 832256 and 10000.
GCD(832256, 10000) = 16
Divide both the numerator and denominator by the GCD:
832256
10000
=
832256 ÷ 16
10000 ÷ 16
=
52016
625
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