To convert 4 7/8 to a decimal using long division, follow these steps:
Step 1: Write down the whole number 4 as the dividend (the number to be divided) and 8 as the divisor (the number to divide by).
```
4.____
8 | 4
```
Step 2: Since 8 cannot be divided into 4, add a decimal point above the line and a zero after the decimal point in the dividend.
```
4.____
8 | 4.0
```
Step 3: Bring down the next digit, which is 7, beside the 0.
```
4.____
8 | 4.07
```
Step 4: Divide 8 into 40.
```
4.____
8 | 4.07
- 40
---
```
The result is 5. Since 8 cannot divide into 4 evenly, continue with the division.
Step 5: Bring down the next digit, which is 0, beside the 7.
```
4.____
8 | 4.07
- 40
--- (the line is extended)
07
```
Step 6: Divide 8 into 70.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
```
The result is 8.
Step 7: Bring down another zero beside the 7.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
```
Step 8: Divide 8 into 70.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
```
The result is 7.
Step 9: Bring down another zero beside the 0.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
- 56
----
40
```
Step 10: Divide 8 into 400.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
- 56
----
40
- 40
----
0
```
The result is 0.
Step 11: Since there is no remainder, the division is complete. The quotient is 4.875.
Thus, 4 7/8 as a decimal is 4.875.
Use long division to convert 4 7/8 to a decimal.
1 answer