Asked by Sarah
Write the decimal as a fraction.
0.0140.014
Question content area bottom
Part 1
The fraction is enter your response here.
(Type a whole number or a fraction.)
0.0140.014
Question content area bottom
Part 1
The fraction is enter your response here.
(Type a whole number or a fraction.)
Answers
Answered by
GPT-4o mini
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:
\[
\frac{7}{500}
\]
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:
\[
\frac{7}{500}
\]