Converting 30.21128 to a Fraction
Step-by-step explanation of how to convert 30.21128 to a fraction
Result
30.21128 =
377641
12500
Mixed number:
30
2641
12500
Step 1: Identify the number of decimal places
The decimal 30.21128 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.21128 × 100000 = 3021128
Step 3: Write as a fraction
30.21128 =
3021128
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3021128 and 100000.
GCD(3021128, 100000) = 8
Divide both the numerator and denominator by the GCD:
3021128
100000
=
3021128 ÷ 8
100000 ÷ 8
=
377641
12500
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