Converting 82.34 to a Fraction
Step-by-step explanation of how to convert 82.34 to a fraction
Result
82.34 =
4117
50
Mixed number:
82
17
50
Step 1: Identify the number of decimal places
The decimal 82.34 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
82.34 × 100 = 8234
Step 3: Write as a fraction
82.34 =
8234
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8234 and 100.
GCD(8234, 100) = 2
Divide both the numerator and denominator by the GCD:
8234
100
=
8234 ÷ 2
100 ÷ 2
=
4117
50
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