Find if the given fractions are equivalent:
`4/(9), 12/(25)`

Answer

To determine if the fractions \( \frac{4}{9} \) and \( \frac{12}{25} \) are equivalent, we can follow these steps:

### Step 1: Set up the equation
We start by setting the two fractions equal to each other:
\[ \frac{4}{9} = \frac{12}{25} \]

### Step 2: Cross multiply
Next, we cross multiply to eliminate the fractions:
\[ 4 \times 25 = 12 \times 9 \]

### Step 3: Calculate the products
Now, we calculate each side:
- For the left side:
\[ 4 \times 25 = 100 \]
- For the right side:
\[ 12 \times 9 = 108 \]

### Step 4: Compare the results
Now we compare the two products:
\[ 100 \neq 108 \]

### Step 5: Conclusion
Since \( 100 \) is not equal to \( 108 \), we conclude that the fractions \( \frac{4}{9} \) and \( \frac{12}{25} \) are not equivalent.

### Final Answer
The fractions \( \frac{4}{9} \) and \( \frac{12}{25} \) are not equivalent.

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