Convert into a decimal:
`(25)/(4)`

Answer

To convert \( \frac{25}{4} \) into a decimal, follow these steps:

### Step 1: Set up the division
We will divide 25 by 4. Here, 25 is the dividend (the number being divided) and 4 is the divisor (the number we are dividing by).

### Step 2: Determine how many times 4 goes into 25
We start by seeing how many times 4 can fit into 25.
- 4 goes into 25 a total of 6 times because \( 4 \times 6 = 24 \).

### Step 3: Subtract to find the remainder
Now, subtract 24 from 25 to find the remainder.
- \( 25 - 24 = 1 \)

### Step 4: Bring down a zero
Since we have a remainder, we can add a decimal point and a zero to the remainder to continue the division. So, we now have 10 (from bringing down the zero).

### Step 5: Divide again
Now, we divide 10 by 4.
- 4 goes into 10 a total of 2 times because \( 4 \times 2 = 8 \).

### Step 6: Subtract again
Subtract 8 from 10 to find the new remainder.
- \( 10 - 8 = 2 \)

### Step 7: Bring down another zero
Again, we bring down another zero, making it 20.

### Step 8: Divide once more
Now, divide 20 by 4.
- 4 goes into 20 a total of 5 times because \( 4 \times 5 = 20 \).

### Step 9: Subtract to find the final remainder
Subtract 20 from 20 to find the remainder.
- \( 20 - 20 = 0 \)

### Conclusion
Since there is no remainder left, we can conclude that:
\[ \frac{25}{4} = 6.25 \]

### Final Answer
The decimal equivalent of \( \frac{25}{4} \) is **6.25**.

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