Converting 30.69728 to a Fraction
Step-by-step explanation of how to convert 30.69728 to a fraction
Result
30.69728 =
95929
3125
Mixed number:
30
2179
3125
Step 1: Identify the number of decimal places
The decimal 30.69728 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.69728 × 100000 = 3069728
Step 3: Write as a fraction
30.69728 =
3069728
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3069728 and 100000.
GCD(3069728, 100000) = 32
Divide both the numerator and denominator by the GCD:
3069728
100000
=
3069728 ÷ 32
100000 ÷ 32
=
95929
3125
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