The decimal form of `( 25)/( 4)` is `"__________"`.

Options

A. 62.5
B. 0.625
C. 6.25
D. 0.25

Answer

To find the decimal form of \( \frac{25}{4} \), we can follow these steps:

### Step 1: Understand the Division
We need to divide 25 by 4. This means we want to see how many times 4 fits into 25.

**Hint:** Think of how many groups of 4 you can make with 25.

### Step 2: Perform the Division
We can start by dividing 25 by 4.

- 4 goes into 25 six times (since \( 4 \times 6 = 24 \)).
- Subtract 24 from 25, which gives us 1.

**Hint:** Remember to keep track of the remainder after each step.

### Step 3: Add a Decimal Point
Since we have a remainder, we can add a decimal point to our answer and a zero to the remainder. This changes our problem to 10 (from the remainder of 1).

**Hint:** Adding a decimal point allows you to continue dividing.

### Step 4: Continue the Division
Now, we divide 10 by 4.

- 4 goes into 10 two times (since \( 4 \times 2 = 8 \)).
- Subtract 8 from 10, which gives us 2.

**Hint:** Keep repeating the process with the new remainder.

### Step 5: Add Another Zero
Again, we add a zero to the remainder, making it 20.

**Hint:** Each time you have a remainder, you can add a zero to keep dividing.

### Step 6: Divide Again
Now, divide 20 by 4.

- 4 goes into 20 five times (since \( 4 \times 5 = 20 \)).
- Subtract 20 from 20, which gives us 0.

**Hint:** When you reach a remainder of 0, you can stop dividing.

### Step 7: Combine the Results
Putting it all together, we have:

- From the first division: 6
- From the second division: 2
- From the third division: 5

Thus, the decimal form of \( \frac{25}{4} \) is \( 6.25 \).

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