Converting 31.12256 to a Fraction
Step-by-step explanation of how to convert 31.12256 to a fraction
Result
31.12256 =
97258
3125
Mixed number:
31
383
3125
Step 1: Identify the number of decimal places
The decimal 31.12256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
31.12256 × 100000 = 3112256
Step 3: Write as a fraction
31.12256 =
3112256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3112256 and 100000.
GCD(3112256, 100000) = 32
Divide both the numerator and denominator by the GCD:
3112256
100000
=
3112256 ÷ 32
100000 ÷ 32
=
97258
3125
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