Converting 30.4168 to a Fraction
Step-by-step explanation of how to convert 30.4168 to a fraction
Result
30.4168 =
38021
1250
Mixed number:
30
521
1250
Step 1: Identify the number of decimal places
The decimal 30.4168 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.4168 × 10000 = 304168
Step 3: Write as a fraction
30.4168 =
304168
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 304168 and 10000.
GCD(304168, 10000) = 8
Divide both the numerator and denominator by the GCD:
304168
10000
=
304168 ÷ 8
10000 ÷ 8
=
38021
1250
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