Question

Are the pairs of fractions equivalent?(4 points)
Yes No
1 over 2= 4 over 8


2 over 3 = 6 over 9


6 over 10 = 3 over 5


2 over 3 = 5 over 6

Answer 1

Let's evaluate each pair of fractions to see if they are equivalent.

1. **\( \frac{1}{2} = \frac{4}{8} \)**
- To determine if these are equivalent, we can simplify \( \frac{4}{8} \).
- \( \frac{4}{8} = \frac{1}{2} \).
- **Yes** (they are equivalent).

2. **\( \frac{2}{3} = \frac{6}{9} \)**
- Simplifying \( \frac{6}{9} \):
- \( \frac{6}{9} = \frac{2}{3} \).
- **Yes** (they are equivalent).

3. **\( \frac{6}{10} = \frac{3}{5} \)**
- Simplifying \( \frac{6}{10} \):
- \( \frac{6}{10} = \frac{3}{5} \).
- **Yes** (they are equivalent).

4. **\( \frac{2}{3} = \frac{5}{6} \)**
- To check if these are equivalent, we can cross-multiply:
- \( 2 \times 6 = 12 \) and \( 3 \times 5 = 15 \).
- Since \( 12 \neq 15 \), they are not equivalent.
- **No** (they are not equivalent).

Summary of answers:
1. Yes
2. Yes
3. Yes
4. No