Converting 31.755 to a Fraction
Step-by-step explanation of how to convert 31.755 to a fraction
Result
31.755 =
6351
200
Mixed number:
31
151
200
Step 1: Identify the number of decimal places
The decimal 31.755 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.755 × 1000 = 31755
Step 3: Write as a fraction
31.755 =
31755
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31755 and 1000.
GCD(31755, 1000) = 5
Divide both the numerator and denominator by the GCD:
31755
1000
=
31755 ÷ 5
1000 ÷ 5
=
6351
200
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