Converting 83.82 to a Fraction
Step-by-step explanation of how to convert 83.82 to a fraction
Result
83.82 =
4191
50
Mixed number:
83
41
50
Step 1: Identify the number of decimal places
The decimal 83.82 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
83.82 × 100 = 8382
Step 3: Write as a fraction
83.82 =
8382
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8382 and 100.
GCD(8382, 100) = 2
Divide both the numerator and denominator by the GCD:
8382
100
=
8382 ÷ 2
100 ÷ 2
=
4191
50
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions