Converting 30.4808 to a Fraction
Step-by-step explanation of how to convert 30.4808 to a fraction
Result
30.4808 =
38101
1250
Mixed number:
30
601
1250
Step 1: Identify the number of decimal places
The decimal 30.4808 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.4808 × 10000 = 304808
Step 3: Write as a fraction
30.4808 =
304808
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 304808 and 10000.
GCD(304808, 10000) = 8
Divide both the numerator and denominator by the GCD:
304808
10000
=
304808 ÷ 8
10000 ÷ 8
=
38101
1250
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