Write the decimal as a fraction.

Question

0.0140.014
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Part 1
The fraction is enter your response here.
​(Type a whole number or a​ fraction.)

Answer 1

To convert the decimal 0.0140 to a fraction:

1. Write down the decimal: 0.0140
2. Count the number of decimal places: There are 4 decimal places.
3. Convert to a fraction: This can be written as \( \frac{14}{1000} \) because 0.0140 is the same as 14 divided by 10,000 (14/10,000 = 0.0140).
4. Simplify the fraction:
   • First, let's find the greatest common divisor (GCD) of 14 and 1000. The GCD is 2.
   • Now, divide both the numerator and the denominator by their GCD: \[ \frac{14 \div 2}{1000 \div 2} = \frac{7}{500} \]

Thus, the decimal 0.0140 as a simplified fraction is:

\[ \frac{7}{500} \]