Converting 31.505 to a Fraction
Step-by-step explanation of how to convert 31.505 to a fraction
Result
31.505 =
6301
200
Mixed number:
31
101
200
Step 1: Identify the number of decimal places
The decimal 31.505 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.505 × 1000 = 31505
Step 3: Write as a fraction
31.505 =
31505
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31505 and 1000.
GCD(31505, 1000) = 5
Divide both the numerator and denominator by the GCD:
31505
1000
=
31505 ÷ 5
1000 ÷ 5
=
6301
200
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