Converting 31.955 to a Fraction
Step-by-step explanation of how to convert 31.955 to a fraction

Result

31.955 =
6391
200
Mixed number:
31
191
200

Step 1: Identify the number of decimal places

The decimal 31.955 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.955 × 1000 = 31955

Step 3: Write as a fraction

31.955 =

31955
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31955 and 1000.

GCD(31955, 1000) = 5

Divide both the numerator and denominator by the GCD:

31955
1000

=

31955 ÷ 5
1000 ÷ 5

=

6391
200
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