Converting 31.82 to a Fraction
Step-by-step explanation of how to convert 31.82 to a fraction
Result
31.82 =
1591
50
Mixed number:
31
41
50
Step 1: Identify the number of decimal places
The decimal 31.82 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
31.82 × 100 = 3182
Step 3: Write as a fraction
31.82 =
3182
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3182 and 100.
GCD(3182, 100) = 2
Divide both the numerator and denominator by the GCD:
3182
100
=
3182 ÷ 2
100 ÷ 2
=
1591
50
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