Converting 4.09872 to a Fraction
Step-by-step explanation of how to convert 4.09872 to a fraction

Result

4.09872 =
25617
6250
Mixed number:
4
617
6250

Step 1: Identify the number of decimal places

The decimal 4.09872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.09872 × 100000 = 409872

Step 3: Write as a fraction

4.09872 =

409872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409872 and 100000.

GCD(409872, 100000) = 16

Divide both the numerator and denominator by the GCD:

409872
100000

=

409872 ÷ 16
100000 ÷ 16

=

25617
6250
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