Converting 82.152 to a Fraction
Step-by-step explanation of how to convert 82.152 to a fraction
Result
82.152 =
10269
125
Mixed number:
82
19
125
Step 1: Identify the number of decimal places
The decimal 82.152 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
82.152 × 1000 = 82152
Step 3: Write as a fraction
82.152 =
82152
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 82152 and 1000.
GCD(82152, 1000) = 8
Divide both the numerator and denominator by the GCD:
82152
1000
=
82152 ÷ 8
1000 ÷ 8
=
10269
125
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