Converting 30.82816 to a Fraction
Step-by-step explanation of how to convert 30.82816 to a fraction
Result
30.82816 =
96338
3125
Mixed number:
30
2588
3125
Step 1: Identify the number of decimal places
The decimal 30.82816 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.82816 × 100000 = 3082816
Step 3: Write as a fraction
30.82816 =
3082816
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3082816 and 100000.
GCD(3082816, 100000) = 32
Divide both the numerator and denominator by the GCD:
3082816
100000
=
3082816 ÷ 32
100000 ÷ 32
=
96338
3125
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