Converting 30.6584 to a Fraction
Step-by-step explanation of how to convert 30.6584 to a fraction
Result
30.6584 =
38323
1250
Mixed number:
30
823
1250
Step 1: Identify the number of decimal places
The decimal 30.6584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.6584 × 10000 = 306584
Step 3: Write as a fraction
30.6584 =
306584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 306584 and 10000.
GCD(306584, 10000) = 8
Divide both the numerator and denominator by the GCD:
306584
10000
=
306584 ÷ 8
10000 ÷ 8
=
38323
1250
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