Converting 31.966 to a Fraction
Step-by-step explanation of how to convert 31.966 to a fraction
Result
31.966 =
15983
500
Mixed number:
31
483
500
Step 1: Identify the number of decimal places
The decimal 31.966 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.966 × 1000 = 31966
Step 3: Write as a fraction
31.966 =
31966
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31966 and 1000.
GCD(31966, 1000) = 2
Divide both the numerator and denominator by the GCD:
31966
1000
=
31966 ÷ 2
1000 ÷ 2
=
15983
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions