Converting 30.242 to a Fraction
Step-by-step explanation of how to convert 30.242 to a fraction
Result
30.242 =
15121
500
Mixed number:
30
121
500
Step 1: Identify the number of decimal places
The decimal 30.242 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
30.242 × 1000 = 30242
Step 3: Write as a fraction
30.242 =
30242
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30242 and 1000.
GCD(30242, 1000) = 2
Divide both the numerator and denominator by the GCD:
30242
1000
=
30242 ÷ 2
1000 ÷ 2
=
15121
500
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