Converting 31.795 to a Fraction
Step-by-step explanation of how to convert 31.795 to a fraction
Result
31.795 =
6359
200
Mixed number:
31
159
200
Step 1: Identify the number of decimal places
The decimal 31.795 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.795 × 1000 = 31795
Step 3: Write as a fraction
31.795 =
31795
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31795 and 1000.
GCD(31795, 1000) = 5
Divide both the numerator and denominator by the GCD:
31795
1000
=
31795 ÷ 5
1000 ÷ 5
=
6359
200
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