Converting 8.1936 to a Fraction
Step-by-step explanation of how to convert 8.1936 to a fraction
Result
8.1936 =
5121
625
Mixed number:
8
121
625
Step 1: Identify the number of decimal places
The decimal 8.1936 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
8.1936 × 10000 = 81936
Step 3: Write as a fraction
8.1936 =
81936
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 81936 and 10000.
GCD(81936, 10000) = 16
Divide both the numerator and denominator by the GCD:
81936
10000
=
81936 ÷ 16
10000 ÷ 16
=
5121
625
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