Converting 8.314 to a Fraction
Step-by-step explanation of how to convert 8.314 to a fraction
Result
8.314 =
4157
500
Mixed number:
8
157
500
Step 1: Identify the number of decimal places
The decimal 8.314 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
8.314 × 1000 = 8314
Step 3: Write as a fraction
8.314 =
8314
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8314 and 1000.
GCD(8314, 1000) = 2
Divide both the numerator and denominator by the GCD:
8314
1000
=
8314 ÷ 2
1000 ÷ 2
=
4157
500
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