Convert `(29)/(4)` into a decimal fraction.

Answer

To convert the fraction \( \frac{29}{4} \) into a decimal fraction, we will perform the division of 29 by 4 step by step.

### Step 1: Set up the division
We will divide 29 by 4. Here, 29 is the dividend (the number being divided) and 4 is the divisor (the number we are dividing by).

### Step 2: Divide 29 by 4
- First, we see how many times 4 can fit into 29.
- 4 goes into 29 a total of 7 times because \( 4 \times 7 = 28 \).

### Step 3: Subtract to find the remainder
- Now, we subtract 28 from 29:
\[ 29 - 28 = 1 \]
- So, the remainder is 1.

### Step 4: Add a decimal point and a zero
- Since we have a remainder, we need to continue the division. We add a decimal point to our answer and bring down a zero (making it 10).

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

### Step 6: Subtract again
- Now, we subtract 8 from 10:
\[ 10 - 8 = 2 \]
- So, the new remainder is 2.

### Step 7: Bring down another zero
- We add another zero to the remainder, making it 20.

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

### Step 9: Final subtraction
- We subtract 20 from 20:
\[ 20 - 20 = 0 \]
- Now, there is no remainder.

### Final Answer
Putting it all together, we have:
\[ \frac{29}{4} = 7.25 \]