Question

Select three that is equivalent to 3/5. A. 30/50 b. 12/20 c. 21/35 d. 8/10 e. 12/15

Answer 1

To determine which fractions are equivalent to \( \frac{3}{5} \), we can cross-multiply or simplify each option.

1. **Option A: \( \frac{30}{50} \)**
- \( 3 \times 50 = 150 \)
- \( 5 \times 30 = 150 \)
- \( \frac{30}{50} = \frac{3}{5} \) (Equivalent)

2. **Option B: \( \frac{12}{20} \)**
- \( 3 \times 20 = 60 \)
- \( 5 \times 12 = 60 \)
- \( \frac{12}{20} = \frac{3}{5} \) (Equivalent)

3. **Option C: \( \frac{21}{35} \)**
- \( 3 \times 35 = 105 \)
- \( 5 \times 21 = 105 \)
- \( \frac{21}{35} = \frac{3}{5} \) (Equivalent)

4. **Option D: \( \frac{8}{10} \)**
- \( 3 \times 10 = 30 \)
- \( 5 \times 8 = 40 \)
- \( \frac{8}{10} \neq \frac{3}{5} \) (Not Equivalent)

5. **Option E: \( \frac{12}{15} \)**
- \( 3 \times 15 = 45 \)
- \( 5 \times 12 = 60 \)
- \( \frac{12}{15} \neq \frac{3}{5} \) (Not Equivalent)

Thus, the fractions that are equivalent to \( \frac{3}{5} \) are:
- **A. \( \frac{30}{50} \)**
- **B. \( \frac{12}{20} \)**
- **C. \( \frac{21}{35} \)**