Converting 30.2416 to a Fraction
Step-by-step explanation of how to convert 30.2416 to a fraction
Result
30.2416 =
18901
625
Mixed number:
30
151
625
Step 1: Identify the number of decimal places
The decimal 30.2416 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.2416 × 10000 = 302416
Step 3: Write as a fraction
30.2416 =
302416
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 302416 and 10000.
GCD(302416, 10000) = 16
Divide both the numerator and denominator by the GCD:
302416
10000
=
302416 ÷ 16
10000 ÷ 16
=
18901
625
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