Converting 16.382 to a Fraction
Step-by-step explanation of how to convert 16.382 to a fraction
Result
16.382 =
8191
500
Mixed number:
16
191
500
Step 1: Identify the number of decimal places
The decimal 16.382 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
16.382 × 1000 = 16382
Step 3: Write as a fraction
16.382 =
16382
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 16382 and 1000.
GCD(16382, 1000) = 2
Divide both the numerator and denominator by the GCD:
16382
1000
=
16382 ÷ 2
1000 ÷ 2
=
8191
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions