Converting 4.04875 to a Fraction
Step-by-step explanation of how to convert 4.04875 to a fraction

Result

4.04875 =
3239
800
Mixed number:
4
39
800

Step 1: Identify the number of decimal places

The decimal 4.04875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.04875 × 100000 = 404875

Step 3: Write as a fraction

4.04875 =

404875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 404875 and 100000.

GCD(404875, 100000) = 125

Divide both the numerator and denominator by the GCD:

404875
100000

=

404875 ÷ 125
100000 ÷ 125

=

3239
800
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