Find if the given fractions are equivalent:
`8/(3), 7/(16)`

Answer

To determine if the fractions \( \frac{8}{3} \) and \( \frac{7}{16} \) are equivalent, we can follow these steps:

### Step 1: Set the fractions equal to each other
We start by writing the equation:
\[ \frac{8}{3} = \frac{7}{16} \]

### Step 2: Cross-multiply the fractions
To check if the fractions are equivalent, we cross-multiply:
\[ 8 \times 16 \quad \text{and} \quad 7 \times 3 \]

### Step 3: Calculate the products
Now we calculate each side:
- For \( 8 \times 16 \):
\[ 8 \times 16 = 128 \]
- For \( 7 \times 3 \):
\[ 7 \times 3 = 21 \]

### Step 4: Compare the results
Now we compare the two products:
\[ 128 \quad \text{and} \quad 21 \]
Since \( 128 \neq 21 \), the two fractions are not equal.

### Conclusion
Therefore, the fractions \( \frac{8}{3} \) and \( \frac{7}{16} \) are **not equivalent**.

---