Converting 3.99144 to a Fraction
Step-by-step explanation of how to convert 3.99144 to a fraction

Result

3.99144 =
49893
12500
Mixed number:
3
12393
12500

Step 1: Identify the number of decimal places

The decimal 3.99144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.99144 × 100000 = 399144

Step 3: Write as a fraction

3.99144 =

399144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 399144 and 100000.

GCD(399144, 100000) = 8

Divide both the numerator and denominator by the GCD:

399144
100000

=

399144 ÷ 8
100000 ÷ 8

=

49893
12500
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