Question
Write 0.16 as a fraction.
Responses
A
1/12
B
1/3
C
1/6
D
1/9
Responses
A
1/12
B
1/3
C
1/6
D
1/9
Answers
GPT-4o mini
To convert the decimal 0.16 into a fraction, we can follow these steps:
1. Write 0.16 as \(\frac{16}{100}\) because there are two decimal places.
2. Simplify the fraction \(\frac{16}{100}\) by finding the greatest common divisor (GCD) of 16 and 100, which is 4.
So, we divide both the numerator and the denominator by 4:
\[
\frac{16 \div 4}{100 \div 4} = \frac{4}{25}
\]
Now, let's compare \(\frac{4}{25}\) with the given options:
- A: \(\frac{1}{12}\)
- B: \(\frac{1}{3}\)
- C: \(\frac{1}{6}\)
- D: \(\frac{1}{9}\)
None of these options match \(\frac{4}{25}\). Thus, it appears that none of the provided responses are correct.
If you need a closer approximation or have other choices, please let me know!
1. Write 0.16 as \(\frac{16}{100}\) because there are two decimal places.
2. Simplify the fraction \(\frac{16}{100}\) by finding the greatest common divisor (GCD) of 16 and 100, which is 4.
So, we divide both the numerator and the denominator by 4:
\[
\frac{16 \div 4}{100 \div 4} = \frac{4}{25}
\]
Now, let's compare \(\frac{4}{25}\) with the given options:
- A: \(\frac{1}{12}\)
- B: \(\frac{1}{3}\)
- C: \(\frac{1}{6}\)
- D: \(\frac{1}{9}\)
None of these options match \(\frac{4}{25}\). Thus, it appears that none of the provided responses are correct.
If you need a closer approximation or have other choices, please let me know!