Converting 82.74 to a Fraction
Step-by-step explanation of how to convert 82.74 to a fraction

Result

82.74 =
4137
50
Mixed number:
82
37
50

Step 1: Identify the number of decimal places

The decimal 82.74 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

82.74 × 100 = 8274

Step 3: Write as a fraction

82.74 =

8274
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8274 and 100.

GCD(8274, 100) = 2

Divide both the numerator and denominator by the GCD:

8274
100

=

8274 ÷ 2
100 ÷ 2

=

4137
50
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