Converting 4.2005 to a Fraction
Step-by-step explanation of how to convert 4.2005 to a fraction
Result
4.2005 =
8401
2000
Mixed number:
4
401
2000
Step 1: Identify the number of decimal places
The decimal 4.2005 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.2005 × 10000 = 42005
Step 3: Write as a fraction
4.2005 =
42005
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42005 and 10000.
GCD(42005, 10000) = 5
Divide both the numerator and denominator by the GCD:
42005
10000
=
42005 ÷ 5
10000 ÷ 5
=
8401
2000
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