To convert the mixed number 3 4/5 to a decimal using long division, we follow these steps:
1. Write the mixed number as a fraction: 3 4/5 is equivalent to 3 + 4/5, which can be expressed as (3 * 5 + 4) / 5 = 19/5.
2. Set up the division problem by placing the dividend (19) inside the long division symbol and the divisor (5) outside the symbol.
```
3.8
____⎺⎺⎺⎺⎺
5 | 19
```
3. Divide 5 into 19. The quotient is 3, which is placed above the division bar.
```
3.8
____⎺⎺⎺⎺⎺
5 | 19
- 15
____⎺⎺⎺
4
```
4. Multiply the quotient (3) by the divisor (5) and subtract this product (15) from the dividend (19).
5. Bring down the next digit (4) and repeat the process.
```
3.8
____⎺⎺⎺⎺⎺
5 | 19
- 15
____⎺⎺⎺
4
3.80
____⎺⎺⎺⎺⎺
5 | 190
- 15
____⎺⎺⎺
40
- 40
____⎺⎺⎺
0
```
6. The remainder is 0, so there are no more digits to bring down.
The quotient obtained is 3.8, so the decimal representation of 3 4/5 is 3.8.
Use long division to convert 3 4/5 to a decimal
2 answers
hi