Converting 83.22 to a Fraction
Step-by-step explanation of how to convert 83.22 to a fraction

Result

83.22 =
4161
50
Mixed number:
83
11
50

Step 1: Identify the number of decimal places

The decimal 83.22 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

83.22 × 100 = 8322

Step 3: Write as a fraction

83.22 =

8322
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8322 and 100.

GCD(8322, 100) = 2

Divide both the numerator and denominator by the GCD:

8322
100

=

8322 ÷ 2
100 ÷ 2

=

4161
50
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