Converting 31.40944 to a Fraction
Step-by-step explanation of how to convert 31.40944 to a fraction

Result

31.40944 =
196309
6250
Mixed number:
31
2559
6250

Step 1: Identify the number of decimal places

The decimal 31.40944 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

31.40944 × 100000 = 3140944

Step 3: Write as a fraction

31.40944 =

3140944
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3140944 and 100000.

GCD(3140944, 100000) = 16

Divide both the numerator and denominator by the GCD:

3140944
100000

=

3140944 ÷ 16
100000 ÷ 16

=

196309
6250
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