Converting 30.82812 to a Fraction
Step-by-step explanation of how to convert 30.82812 to a fraction
Result
30.82812 =
770703
25000
Mixed number:
30
20703
25000
Step 1: Identify the number of decimal places
The decimal 30.82812 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.82812 × 100000 = 3082812
Step 3: Write as a fraction
30.82812 =
3082812
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3082812 and 100000.
GCD(3082812, 100000) = 4
Divide both the numerator and denominator by the GCD:
3082812
100000
=
3082812 ÷ 4
100000 ÷ 4
=
770703
25000
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