Converting 4.0808 to a Fraction
Step-by-step explanation of how to convert 4.0808 to a fraction

Result

4.0808 =
5101
1250
Mixed number:
4
101
1250

Step 1: Identify the number of decimal places

The decimal 4.0808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.0808 × 10000 = 40808

Step 3: Write as a fraction

4.0808 =

40808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40808 and 10000.

GCD(40808, 10000) = 8

Divide both the numerator and denominator by the GCD:

40808
10000

=

40808 ÷ 8
10000 ÷ 8

=

5101
1250
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