Converting 30.4144 to a Fraction
Step-by-step explanation of how to convert 30.4144 to a fraction
Result
30.4144 =
19009
625
Mixed number:
30
259
625
Step 1: Identify the number of decimal places
The decimal 30.4144 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.4144 × 10000 = 304144
Step 3: Write as a fraction
30.4144 =
304144
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 304144 and 10000.
GCD(304144, 10000) = 16
Divide both the numerator and denominator by the GCD:
304144
10000
=
304144 ÷ 16
10000 ÷ 16
=
19009
625
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