Converting 30.142592 to a Fraction
Step-by-step explanation of how to convert 30.142592 to a fraction
Result
30.142592 =
470978
15625
Mixed number:
30
2228
15625
Step 1: Identify the number of decimal places
The decimal 30.142592 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
30.142592 × 1000000 = 30142592
Step 3: Write as a fraction
30.142592 =
30142592
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 30142592 and 1000000.
GCD(30142592, 1000000) = 64
Divide both the numerator and denominator by the GCD:
30142592
1000000
=
30142592 ÷ 64
1000000 ÷ 64
=
470978
15625
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