Converting 31.22 to a Fraction
Step-by-step explanation of how to convert 31.22 to a fraction

Result

31.22 =
1561
50
Mixed number:
31
11
50

Step 1: Identify the number of decimal places

The decimal 31.22 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

31.22 × 100 = 3122

Step 3: Write as a fraction

31.22 =

3122
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3122 and 100.

GCD(3122, 100) = 2

Divide both the numerator and denominator by the GCD:

3122
100

=

3122 ÷ 2
100 ÷ 2

=

1561
50
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