Write whether the following are equivalent fractions or not.
`3/(5) and 9/(11)`

Answer

To determine whether the fractions \( \frac{3}{5} \) and \( \frac{9}{11} \) are equivalent, we can follow these steps:

### Step 1: Understand Equivalent Fractions
Equivalent fractions are fractions that represent the same value or proportion, even though they may have different numerators and denominators.

### Step 2: Cross-Multiply
To check if two fractions are equivalent, we can cross-multiply. This means we multiply the numerator of the first fraction by the denominator of the second fraction and compare it to the numerator of the second fraction multiplied by the denominator of the first fraction.

For our fractions:
- First fraction: \( \frac{3}{5} \)
- Second fraction: \( \frac{9}{11} \)

Cross-multiplying gives us:
\[ 3 \times 11 \quad \text{and} \quad 9 \times 5 \]

### Step 3: Calculate the Products
Now, we calculate both products:
1. \( 3 \times 11 = 33 \)
2. \( 9 \times 5 = 45 \)

### Step 4: Compare the Results
Now we compare the two results:
- \( 33 \) (from \( 3 \times 11 \))
- \( 45 \) (from \( 9 \times 5 \))

Since \( 33 \neq 45 \), the fractions are not equivalent.

### Conclusion
Thus, we conclude that \( \frac{3}{5} \) and \( \frac{9}{11} \) are **not equivalent fractions**.

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