Converting 82.8 to a Fraction
Step-by-step explanation of how to convert 82.8 to a fraction
Result
82.8 =
414
5
Mixed number:
82
4
5
Step 1: Identify the number of decimal places
The decimal 82.8 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
82.8 × 10 = 828
Step 3: Write as a fraction
82.8 =
828
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 828 and 10.
GCD(828, 10) = 2
Divide both the numerator and denominator by the GCD:
828
10
=
828 ÷ 2
10 ÷ 2
=
414
5
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