Find if the given fractions are equivalent:
`4/(5), 20/(25)`

Answer

To determine if the fractions \( \frac{4}{5} \) and \( \frac{20}{25} \) are equivalent, we can follow these steps:

### Step 1: Set up the equation
We need to check if the two fractions are equal by cross-multiplying. We set up the equation:
\[ \frac{4}{5} = \frac{20}{25} \]

### Step 2: Cross-multiply
Cross-multiplying means we multiply the numerator of the first fraction by the denominator of the second fraction and the numerator of the second fraction by the denominator of the first fraction. This gives us:
\[ 4 \times 25 \quad \text{and} \quad 5 \times 20 \]

### Step 3: Calculate the products
Now we calculate both products:
- For \( 4 \times 25 \):
\[ 4 \times 25 = 100 \]
- For \( 5 \times 20 \):
\[ 5 \times 20 = 100 \]

### Step 4: Compare the results
Now we compare the two results:
\[ 100 = 100 \]

### Conclusion
Since both sides of the equation are equal, we conclude that the fractions \( \frac{4}{5} \) and \( \frac{20}{25} \) are equivalent.

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