Question

Select all the fractions that are equivalent to 8/12
(1 point)
Responses

2/3


40/60
4

4/5


24/36

Answer 1

To determine which fractions are equivalent to 8/12, we can simplify 8/12 and compare it with the other fractions given.

1. **Simplify 8/12**:
\[
8 \div 4 = 2 \quad \text{and} \quad 12 \div 4 = 3
\]
Thus, \( \frac{8}{12} = \frac{2}{3} \).

Now, we will compare \( \frac{2}{3} \) with the provided options:

- **2/3**: This is equivalent to 8/12.

- **40/60**: Simplifying \( \frac{40}{60} \):
\[
40 \div 20 = 2 \quad \text{and} \quad 60 \div 20 = 3
\]
Thus, \( \frac{40}{60} = \frac{2}{3} \), which is also equivalent to 8/12.

- **4**: This is not a fraction and cannot be equivalent to 8/12 (or any fraction).

- **4/5**: This does not equal \( \frac{2}{3} \) or \( \frac{8}{12} \).

- **24/36**: Simplifying \( \frac{24}{36} \):
\[
24 \div 12 = 2 \quad \text{and} \quad 36 \div 12 = 3
\]
Thus, \( \frac{24}{36} = \frac{2}{3} \), which is equivalent to 8/12.

So, the fractions that are equivalent to 8/12 are:

- 2/3
- 40/60
- 24/36