Converting 82.52 to a Fraction
Step-by-step explanation of how to convert 82.52 to a fraction

Result

82.52 =
2063
25
Mixed number:
82
13
25

Step 1: Identify the number of decimal places

The decimal 82.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

82.52 × 100 = 8252

Step 3: Write as a fraction

82.52 =

8252
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8252 and 100.

GCD(8252, 100) = 4

Divide both the numerator and denominator by the GCD:

8252
100

=

8252 ÷ 4
100 ÷ 4

=

2063
25
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