Converting 0.8314 to a Fraction
Step-by-step explanation of how to convert 0.8314 to a fraction
Result
0.8314 =
4157
5000
Step 1: Identify the number of decimal places
The decimal 0.8314 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.8314 × 10000 = 8314
Step 3: Write as a fraction
0.8314 =
8314
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8314 and 10000.
GCD(8314, 10000) = 2
Divide both the numerator and denominator by the GCD:
8314
10000
=
8314 ÷ 2
10000 ÷ 2
=
4157
5000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions