Question

Which fraction is equivalent to 57
5
7
?(1 point)
Responses

1021
10
21
10 over 21

1521
15
21
15 over 21

79
7
9
7 ninths

Answer 1

To determine which fraction is equivalent to \( \frac{5}{7} \), we can examine the provided options:

1. \( \frac{10}{21} \)
2. \( \frac{15}{21} \)
3. \( \frac{7}{9} \)

To see if any of these fractions are equivalent to \( \frac{5}{7} \), we can cross-multiply:

1. For \( \frac{10}{21} \):
- Cross-multiply: \( 5 \times 21 = 105 \) and \( 7 \times 10 = 70 \) (not equal)

2. For \( \frac{15}{21} \):
- Cross-multiply: \( 5 \times 21 = 105 \) and \( 7 \times 15 = 105 \) (equal)

3. For \( \frac{7}{9} \):
- Cross-multiply: \( 5 \times 9 = 45 \) and \( 7 \times 7 = 49 \) (not equal)

The equivalent fraction to \( \frac{5}{7} \) is \( \frac{15}{21} \) (15 over 21).