Converting 31.344256 to a Fraction
Step-by-step explanation of how to convert 31.344256 to a fraction

Result

31.344256 =
489754
15625
Mixed number:
31
5379
15625

Step 1: Identify the number of decimal places

The decimal 31.344256 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

31.344256 × 1000000 = 31344256

Step 3: Write as a fraction

31.344256 =

31344256
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31344256 and 1000000.

GCD(31344256, 1000000) = 64

Divide both the numerator and denominator by the GCD:

31344256
1000000

=

31344256 ÷ 64
1000000 ÷ 64

=

489754
15625
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