Converting 4.008 to a Fraction
Step-by-step explanation of how to convert 4.008 to a fraction
Result
4.008 =
501
125
Mixed number:
4
1
125
Step 1: Identify the number of decimal places
The decimal 4.008 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.008 × 1000 = 4008
Step 3: Write as a fraction
4.008 =
4008
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4008 and 1000.
GCD(4008, 1000) = 8
Divide both the numerator and denominator by the GCD:
4008
1000
=
4008 ÷ 8
1000 ÷ 8
=
501
125
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