Converting 8.194 to a Fraction
Step-by-step explanation of how to convert 8.194 to a fraction
Result
8.194 =
4097
500
Mixed number:
8
97
500
Step 1: Identify the number of decimal places
The decimal 8.194 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
8.194 × 1000 = 8194
Step 3: Write as a fraction
8.194 =
8194
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8194 and 1000.
GCD(8194, 1000) = 2
Divide both the numerator and denominator by the GCD:
8194
1000
=
8194 ÷ 2
1000 ÷ 2
=
4097
500
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