Converting 30.0752 to a Fraction
Step-by-step explanation of how to convert 30.0752 to a fraction
Result
30.0752 =
18797
625
Mixed number:
30
47
625
Step 1: Identify the number of decimal places
The decimal 30.0752 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.0752 × 10000 = 300752
Step 3: Write as a fraction
30.0752 =
300752
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 300752 and 10000.
GCD(300752, 10000) = 16
Divide both the numerator and denominator by the GCD:
300752
10000
=
300752 ÷ 16
10000 ÷ 16
=
18797
625
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