Convert the following rational numbers into decimals:
`(13)/(20)`

Answer

To convert the rational number \( \frac{13}{20} \) into a decimal, follow these steps:

### Step 1: Set up the division
We need to divide 13 by 20. Since 13 is smaller than 20, we will add a decimal point and a zero to 13, making it 13.0.

### Step 2: Perform the division
Now, we divide 130 (which is 13.0) by 20.

- **How many times does 20 go into 130?**
- 20 goes into 130 six times because \( 20 \times 6 = 120 \).

### Step 3: Subtract the product from 130
Now, subtract 120 from 130:
\[ 130 - 120 = 10 \]

### Step 4: Bring down the next zero
Next, we bring down another zero, making it 100.

### Step 5: Divide again
Now, we divide 100 by 20.

- **How many times does 20 go into 100?**
- 20 goes into 100 five times because \( 20 \times 5 = 100 \).

### Step 6: Subtract again
Now, subtract 100 from 100:
\[ 100 - 100 = 0 \]

### Conclusion
Since there is no remainder, we can conclude that the decimal form of \( \frac{13}{20} \) is \( 0.65 \).

### Final Answer
The decimal representation of \( \frac{13}{20} \) is \( 0.65 \).

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