Converting 3.20408 to a Fraction
Step-by-step explanation of how to convert 3.20408 to a fraction

Result

3.20408 =
40051
12500
Mixed number:
3
2551
12500

Step 1: Identify the number of decimal places

The decimal 3.20408 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.20408 × 100000 = 320408

Step 3: Write as a fraction

3.20408 =

320408
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 320408 and 100000.

GCD(320408, 100000) = 8

Divide both the numerator and denominator by the GCD:

320408
100000

=

320408 ÷ 8
100000 ÷ 8

=

40051
12500
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