Converting 83.9824 to a Fraction
Step-by-step explanation of how to convert 83.9824 to a fraction
Result
83.9824 =
52489
625
Mixed number:
83
614
625
Step 1: Identify the number of decimal places
The decimal 83.9824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
83.9824 × 10000 = 839824
Step 3: Write as a fraction
83.9824 =
839824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 839824 and 10000.
GCD(839824, 10000) = 16
Divide both the numerator and denominator by the GCD:
839824
10000
=
839824 ÷ 16
10000 ÷ 16
=
52489
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions