Converting 82.38 to a Fraction
Step-by-step explanation of how to convert 82.38 to a fraction

Result

82.38 =
4119
50
Mixed number:
82
19
50

Step 1: Identify the number of decimal places

The decimal 82.38 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

82.38 × 100 = 8238

Step 3: Write as a fraction

82.38 =

8238
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8238 and 100.

GCD(8238, 100) = 2

Divide both the numerator and denominator by the GCD:

8238
100

=

8238 ÷ 2
100 ÷ 2

=

4119
50
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