Converting 30.142464 to a Fraction
Step-by-step explanation of how to convert 30.142464 to a fraction

Result

30.142464 =
470976
15625
Mixed number:
30
2226
15625

Step 1: Identify the number of decimal places

The decimal 30.142464 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

30.142464 × 1000000 = 30142464

Step 3: Write as a fraction

30.142464 =

30142464
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30142464 and 1000000.

GCD(30142464, 1000000) = 64

Divide both the numerator and denominator by the GCD:

30142464
1000000

=

30142464 ÷ 64
1000000 ÷ 64

=

470976
15625
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