Converting 1.4005 to a Fraction
Step-by-step explanation of how to convert 1.4005 to a fraction
Result
1.4005 =
2801
2000
Mixed number:
1
801
2000
Step 1: Identify the number of decimal places
The decimal 1.4005 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.4005 × 10000 = 14005
Step 3: Write as a fraction
1.4005 =
14005
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 14005 and 10000.
GCD(14005, 10000) = 5
Divide both the numerator and denominator by the GCD:
14005
10000
=
14005 ÷ 5
10000 ÷ 5
=
2801
2000
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