Converting 30.382 to a Fraction
Step-by-step explanation of how to convert 30.382 to a fraction
Result
30.382 =
15191
500
Mixed number:
30
191
500
Step 1: Identify the number of decimal places
The decimal 30.382 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.382 × 1000 = 30382
Step 3: Write as a fraction
30.382 =
30382
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30382 and 1000.
GCD(30382, 1000) = 2
Divide both the numerator and denominator by the GCD:
30382
1000
=
30382 ÷ 2
1000 ÷ 2
=
15191
500
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