Converting 82.072 to a Fraction
Step-by-step explanation of how to convert 82.072 to a fraction
Result
82.072 =
10259
125
Mixed number:
82
9
125
Step 1: Identify the number of decimal places
The decimal 82.072 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
82.072 × 1000 = 82072
Step 3: Write as a fraction
82.072 =
82072
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 82072 and 1000.
GCD(82072, 1000) = 8
Divide both the numerator and denominator by the GCD:
82072
1000
=
82072 ÷ 8
1000 ÷ 8
=
10259
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions