Converting 30.57384 to a Fraction
Step-by-step explanation of how to convert 30.57384 to a fraction
Result
30.57384 =
382173
12500
Mixed number:
30
7173
12500
Step 1: Identify the number of decimal places
The decimal 30.57384 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.57384 × 100000 = 3057384
Step 3: Write as a fraction
30.57384 =
3057384
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3057384 and 100000.
GCD(3057384, 100000) = 8
Divide both the numerator and denominator by the GCD:
3057384
100000
=
3057384 ÷ 8
100000 ÷ 8
=
382173
12500
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