Converting 30.582 to a Fraction
Step-by-step explanation of how to convert 30.582 to a fraction
Result
30.582 =
15291
500
Mixed number:
30
291
500
Step 1: Identify the number of decimal places
The decimal 30.582 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.582 × 1000 = 30582
Step 3: Write as a fraction
30.582 =
30582
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30582 and 1000.
GCD(30582, 1000) = 2
Divide both the numerator and denominator by the GCD:
30582
1000
=
30582 ÷ 2
1000 ÷ 2
=
15291
500
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