Converting 30.72024 to a Fraction
Step-by-step explanation of how to convert 30.72024 to a fraction
Result
30.72024 =
384003
12500
Mixed number:
30
9003
12500
Step 1: Identify the number of decimal places
The decimal 30.72024 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.72024 × 100000 = 3072024
Step 3: Write as a fraction
30.72024 =
3072024
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3072024 and 100000.
GCD(3072024, 100000) = 8
Divide both the numerator and denominator by the GCD:
3072024
100000
=
3072024 ÷ 8
100000 ÷ 8
=
384003
12500
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