Converting 0.8283 to a Fraction
Step-by-step explanation of how to convert 0.8283 to a fraction
Result
0.8283 =
8283
10000
Step 1: Identify the number of decimal places
The decimal 0.8283 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.8283 × 10000 = 8283
Step 3: Write as a fraction
0.8283 =
8283
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8283 and 10000.
GCD(8283, 10000) = 1
Divide both the numerator and denominator by the GCD:
8283
10000
=
8283 ÷ 1
10000 ÷ 1
=
8283
10000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions