Converting 31.205 to a Fraction
Step-by-step explanation of how to convert 31.205 to a fraction
Result
31.205 =
6241
200
Mixed number:
31
41
200
Step 1: Identify the number of decimal places
The decimal 31.205 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.205 × 1000 = 31205
Step 3: Write as a fraction
31.205 =
31205
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31205 and 1000.
GCD(31205, 1000) = 5
Divide both the numerator and denominator by the GCD:
31205
1000
=
31205 ÷ 5
1000 ÷ 5
=
6241
200
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