Converting 30.145744 to a Fraction
Step-by-step explanation of how to convert 30.145744 to a fraction

Result

30.145744 =
1884109
62500
Mixed number:
30
9109
62500

Step 1: Identify the number of decimal places

The decimal 30.145744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

30.145744 × 1000000 = 30145744

Step 3: Write as a fraction

30.145744 =

30145744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30145744 and 1000000.

GCD(30145744, 1000000) = 16

Divide both the numerator and denominator by the GCD:

30145744
1000000

=

30145744 ÷ 16
1000000 ÷ 16

=

1884109
62500
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