which of the fraction is equivalent to 3/8? 2/7, 8/3, 5/10, 9/24

Answer 1

To determine which fraction is equivalent to $\frac{3}{8}$, we can convert each fraction to its simplest form or compare their cross-products.

1. For $\frac{2}{7}$:

   • Cross-multiply: $3\times 7$ and $2\times 8$
   • $21$ and $16$ (they are not equal).

2. For $\frac{8}{3}$:

   • Cross-multiply: $3\times 3$ and $8\times 8$
   • $9$ and $64$ (they are not equal).

3. For $\frac{5}{10}$:

   • This fraction simplifies to $\frac{1}{2}$, which does not equal $\frac{3}{8}$.

4. For $\frac{9}{24}$:

   • This fraction simplifies to $\frac{3}{8}$ (both can be divided by 3).

So, the fraction equivalent to $\frac{3}{8}$ is $\frac{9}{24}$.