Simplify the following fraction.
`(25)/(40)`

Answer

To simplify the fraction \( \frac{25}{40} \), follow these steps:

### Step 1: Factor the Numerator and Denominator
First, we need to factor both the numerator (25) and the denominator (40).

- The numerator \( 25 \) can be factored as:
\[ 25 = 5 \times 5 \]

- The denominator \( 40 \) can be factored as:
\[ 40 = 8 \times 5 \]

### Step 2: Rewrite the Fraction
Now, we can rewrite the fraction using these factors:
\[ \frac{25}{40} = \frac{5 \times 5}{8 \times 5} \]

### Step 3: Cancel the Common Factor
Next, we can see that both the numerator and the denominator have a common factor of \( 5 \). We can cancel this common factor:
\[ \frac{5 \times 5}{8 \times 5} = \frac{5}{8} \]

### Step 4: Final Answer
Thus, the simplified form of the fraction \( \frac{25}{40} \) is:
\[ \frac{5}{8} \]

### Summary
The simplified fraction is \( \frac{5}{8} \).

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