Converting 83.7648 to a Fraction
Step-by-step explanation of how to convert 83.7648 to a fraction
Result
83.7648 =
52353
625
Mixed number:
83
478
625
Step 1: Identify the number of decimal places
The decimal 83.7648 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
83.7648 × 10000 = 837648
Step 3: Write as a fraction
83.7648 =
837648
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 837648 and 10000.
GCD(837648, 10000) = 16
Divide both the numerator and denominator by the GCD:
837648
10000
=
837648 ÷ 16
10000 ÷ 16
=
52353
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions