Converting 4.1005 to a Fraction
Step-by-step explanation of how to convert 4.1005 to a fraction

Result

4.1005 =
8201
2000
Mixed number:
4
201
2000

Step 1: Identify the number of decimal places

The decimal 4.1005 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.1005 × 10000 = 41005

Step 3: Write as a fraction

4.1005 =

41005
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41005 and 10000.

GCD(41005, 10000) = 5

Divide both the numerator and denominator by the GCD:

41005
10000

=

41005 ÷ 5
10000 ÷ 5

=

8201
2000
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