Use long division to convert 3 4/5 to a decimal.
To convert 3 4/5 to a decimal using long division, you can approach it as follows:
First, write down the mixed number as a fraction: 3 4/5 = (3 * 5 + 4) / 5 = 19/5.
Now, we can perform the long division:
```
3.8
---------
5 | 19.0
15
---
40
40
---
0
```
Therefore, the decimal representation of 3 4/5 is 3.8.
To convert 3 4/5 to a decimal using long division, follow these steps:
Step 1: Write the mixed number as an improper fraction.
3 4/5 = (3 × 5 + 4) / 5 = 19/5
Step 2: Perform long division by dividing the numerator (19) by the denominator (5).
3.8
_______
5 | 19
- 15
----
4
Step 3: Continue the long division process until you reach your desired level of accuracy. In this case, since the denominator is 5, you can stop after one decimal place.
Therefore, converting 3 4/5 to a decimal using long division yields 3.8.