Converting 30.09824 to a Fraction
Step-by-step explanation of how to convert 30.09824 to a fraction
Result
30.09824 =
94057
3125
Mixed number:
30
307
3125
Step 1: Identify the number of decimal places
The decimal 30.09824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.09824 × 100000 = 3009824
Step 3: Write as a fraction
30.09824 =
3009824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3009824 and 100000.
GCD(3009824, 100000) = 32
Divide both the numerator and denominator by the GCD:
3009824
100000
=
3009824 ÷ 32
100000 ÷ 32
=
94057
3125
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