Question

Which fraction is equivalent to 4/5?

28/35
9/14
5/6
11/20

Answer 1

To determine which fraction is equivalent to \( \frac{4}{5} \), we can cross-multiply:

1. **For \( \frac{28}{35} \)**:
\[
4 \times 35 = 140
\]
\[
5 \times 28 = 140
\]
Since both products are equal, \( \frac{28}{35} \) is equivalent to \( \frac{4}{5} \).

2. **For \( \frac{9}{14} \)**:
\[
4 \times 14 = 56
\]
\[
5 \times 9 = 45
\]
The products are not equal, so \( \frac{9}{14} \) is not equivalent to \( \frac{4}{5} \).

3. **For \( \frac{5}{6} \)**:
\[
4 \times 6 = 24
\]
\[
5 \times 5 = 25
\]
The products are not equal, so \( \frac{5}{6} \) is not equivalent to \( \frac{4}{5} \).

4. **For \( \frac{11}{20} \)**:
\[
4 \times 20 = 80
\]
\[
5 \times 11 = 55
\]
The products are not equal, so \( \frac{11}{20} \) is not equivalent to \( \frac{4}{5} \).

Thus, the only fraction that is equivalent to \( \frac{4}{5} \) is:

\[
\frac{28}{35}
\]

So, the answer is \( \frac{28}{35} \).