Converting 4.08184 to a Fraction
Step-by-step explanation of how to convert 4.08184 to a fraction

Result

4.08184 =
51023
12500
Mixed number:
4
1023
12500

Step 1: Identify the number of decimal places

The decimal 4.08184 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.08184 × 100000 = 408184

Step 3: Write as a fraction

4.08184 =

408184
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 408184 and 100000.

GCD(408184, 100000) = 8

Divide both the numerator and denominator by the GCD:

408184
100000

=

408184 ÷ 8
100000 ÷ 8

=

51023
12500
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