Question

Which fractions are equivalent to 7/6
? Select all that apply.

(1 point)
Responses

1/6


12/14



14/12



70/60



42/49

Answer 1

To find the fractions equivalent to \( \frac{7}{6} \), we can multiply both the numerator and the denominator by the same non-zero integer.

Let's check each option:

1. **\( \frac{1}{6} \)**: This is not equivalent, since \( \frac{1}{6} \) is less than \( \frac{7}{6} \).

2. **\( \frac{12}{14} \)**: Simplifying this gives \( \frac{12 \div 2}{14 \div 2} = \frac{6}{7} \), which is not equivalent to \( \frac{7}{6} \).

3. **\( \frac{14}{12} \)**: Simplifying this gives \( \frac{14 \div 2}{12 \div 2} = \frac{7}{6} \), which **is** equivalent.

4. **\( \frac{70}{60} \)**: Simplifying this gives \( \frac{70 \div 10}{60 \div 10} = \frac{7}{6} \), which **is** equivalent.

5. **\( \frac{42}{49} \)**: Simplifying this gives \( \frac{42 \div 7}{49 \div 7} = \frac{6}{7} \), which is not equivalent to \( \frac{7}{6} \).

So, the fractions that are equivalent to \( \frac{7}{6} \) are:

- \( \frac{14}{12} \)
- \( \frac{70}{60} \)

These are the correct responses.