Question

Select the three fractions that are equivalent to 3/5

8/10
21/35
30/50
12/20
12/15

Answer 1

To determine which fractions are equivalent to \( \frac{3}{5} \), we can cross-multiply to see which fractions simplify to the same value.

1. For \( \frac{8}{10} \):
\[
3 \times 10 = 30 \quad \text{and} \quad 5 \times 8 = 40 \quad \text{(not equivalent)}
\]

2. For \( \frac{21}{35} \):
\[
3 \times 35 = 105 \quad \text{and} \quad 5 \times 21 = 105 \quad \text{(equivalent)}
\]

3. For \( \frac{30}{50} \):
\[
3 \times 50 = 150 \quad \text{and} \quad 5 \times 30 = 150 \quad \text{(equivalent)}
\]

4. For \( \frac{12}{20} \):
\[
3 \times 20 = 60 \quad \text{and} \quad 5 \times 12 = 60 \quad \text{(equivalent)}
\]

5. For \( \frac{12}{15} \):
\[
3 \times 15 = 45 \quad \text{and} \quad 5 \times 12 = 60 \quad \text{(not equivalent)}
\]

The three fractions equivalent to \( \frac{3}{5} \) are:
- \( \frac{21}{35} \)
- \( \frac{30}{50} \)
- \( \frac{12}{20} \)