Question

Which is not equivalent to the fraction 4/15? 8/3],22/45,16/60,20/75

Answer 1

To determine which fraction is not equivalent to \( \frac{4}{15} \), we will check the equivalence of each given fraction by cross-multiplying.

1. **Check \( \frac{8}{3} \)**:
\[
4 \times 3 = 12 \quad \text{and} \quad 15 \times 8 = 120
\]
Since \( 12 \neq 120 \), \( \frac{8}{3} \) is not equivalent to \( \frac{4}{15} \).

2. **Check \( \frac{22}{45} \)**:
\[
4 \times 45 = 180 \quad \text{and} \quad 15 \times 22 = 330
\]
Since \( 180 \neq 330 \), \( \frac{22}{45} \) is also not equivalent to \( \frac{4}{15} \).

3. **Check \( \frac{16}{60} \)**:
\[
4 \times 60 = 240 \quad \text{and} \quad 15 \times 16 = 240
\]
Since \( 240 = 240 \), \( \frac{16}{60} \) is equivalent to \( \frac{4}{15} \).

4. **Check \( \frac{20}{75} \)**:
\[
4 \times 75 = 300 \quad \text{and} \quad 15 \times 20 = 300
\]
Since \( 300 = 300 \), \( \frac{20}{75} \) is also equivalent to \( \frac{4}{15} \).

From our checks, both \( \frac{8}{3} \) and \( \frac{22}{45} \) are not equivalent to \( \frac{4}{15} \).
However, among the four options, the most significantly different is \( \frac{8}{3} \) since it is also greater than 1, while the original fraction \( \frac{4}{15} \) is less than 1.

Thus, the fraction **not equivalent** to \( \frac{4}{15} \) is **\( \frac{8}{3} \)**.