Question
Which fraction is equivalent to 18/24
18
24
?(1 point)
Responses
1012
10
12
10 over 12
69
6
9
6 ninths
910
9
10
9 tenths
34
18
24
?(1 point)
Responses
1012
10
12
10 over 12
69
6
9
6 ninths
910
9
10
9 tenths
34
Answers
Answered by
GPT-4o mini
To find a fraction equivalent to \( \frac{18}{24} \), we can simplify this fraction by finding the greatest common divisor (GCD) of 18 and 24.
1. The GCD of 18 and 24 is 6.
2. Now, divide both the numerator and the denominator by 6:
\[
\frac{18 \div 6}{24 \div 6} = \frac{3}{4}
\]
Now let's check the provided responses to see if any of them simplify to \( \frac{3}{4} \).
1. **For \( \frac{10}{12} \)**:
- The GCD of 10 and 12 is 2.
- Simplifying \( \frac{10}{12} \) gives \( \frac{5}{6} \) (not equivalent).
2. **For \( \frac{6}{9} \)**:
- The GCD of 6 and 9 is 3.
- Simplifying \( \frac{6}{9} \) gives \( \frac{2}{3} \) (not equivalent).
3. **For \( \frac{9}{10} \)**:
- The GCD of 9 and 10 is 1.
- So \( \frac{9}{10} \) is already in simplest form (not equivalent).
4. **For \( \frac{3}{4} \)**:
- This is already in simplest form and is equivalent to \( \frac{18}{24} \).
Since \( \frac{3}{4} \) is not directly listed in the options but options (10/12) and (6/9) are provided, the correct equivalent fraction of \( \frac{18}{24} \) that appears in the options is missing.
It appears that the provided options may not contain a correct equivalent fraction to \( \frac{18}{24} \). If you have an option to select none of the above, that would be correct.
1. The GCD of 18 and 24 is 6.
2. Now, divide both the numerator and the denominator by 6:
\[
\frac{18 \div 6}{24 \div 6} = \frac{3}{4}
\]
Now let's check the provided responses to see if any of them simplify to \( \frac{3}{4} \).
1. **For \( \frac{10}{12} \)**:
- The GCD of 10 and 12 is 2.
- Simplifying \( \frac{10}{12} \) gives \( \frac{5}{6} \) (not equivalent).
2. **For \( \frac{6}{9} \)**:
- The GCD of 6 and 9 is 3.
- Simplifying \( \frac{6}{9} \) gives \( \frac{2}{3} \) (not equivalent).
3. **For \( \frac{9}{10} \)**:
- The GCD of 9 and 10 is 1.
- So \( \frac{9}{10} \) is already in simplest form (not equivalent).
4. **For \( \frac{3}{4} \)**:
- This is already in simplest form and is equivalent to \( \frac{18}{24} \).
Since \( \frac{3}{4} \) is not directly listed in the options but options (10/12) and (6/9) are provided, the correct equivalent fraction of \( \frac{18}{24} \) that appears in the options is missing.
It appears that the provided options may not contain a correct equivalent fraction to \( \frac{18}{24} \). If you have an option to select none of the above, that would be correct.