Using long division convert 12/30 to a decimal
To convert 12/30 to a decimal using long division, follow these steps:
1. Write 12 as the dividend and 30 as the divisor, like this:
```
_______
30 | 12
```
2. Divide the first digit of the dividend (1) by the divisor (30). The quotient is 0, so write 0 above the line:
```
_______
30 | 12
-0
```
3. Multiply the quotient (0) by the divisor (30) and write the product (0) below the dividend (12):
```
_______
30 | 12
-0
0
```
4. Subtract the product (0) from the dividend (12). Write the result (12) below the line:
```
_______
30 | 12
-0
0
-----
12
```
5. Bring down the next digit of the dividend (0):
```
_______
30 | 12
-0
0
-----
120
```
6. Divide the updated dividend (120) by the divisor (30). The quotient is 4, so write 4 above the line:
```
_______
30 | 12
-0
0
-----
120
- 120
```
7. Multiply the quotient (4) by the divisor (30) and write the product (120) below the previous difference (120):
```
_______
30 | 12
-0
0
-----
120
- 120
120
```
8. Subtract the product (120) from the previous difference (120). Write the result (0) below the line:
```
_______
30 | 12
-0
0
-----
120
- 120
120
------
0
```
The division is complete. The quotient is 0.4, so the decimal form of 12/30 is 0.4.
To convert the fraction 12/30 to a decimal using long division, follow these steps:
Step 1: Divide the numerator (12) by the denominator (30).
______
30 |12
Since 12 is less than 30, we need to add a decimal point and a zero after it.
Step 2: Add a decimal point after 12 and append a zero.
______
30 | 12.0
Step 3: Divide 12 by 30.
______
30 | 12.0
- 0
______
12
Step 4: Multiply the quotient (0) by the denominator (30) and subtract the result from 12.
______
30 | 12.0
- 0
______
120
- 0
______
120
- 0
______
120
Step 5: Bring down the zero from the dividend (120).
______
30 | 12.0
- 0
______
120
- 0
______
120
- 0
Step 6: Divide 120 by 30.
______
30 | 12.0
- 0
______
120
- 0
______
120
- 0
______
120
Step 7: Multiply the new quotient (4) by the denominator (30) and subtract the result from 120.
______
30 | 12.0
- 0
______
120
- 0
______
120
- 0
______
120
- 120
______
0
Since the result is zero, there is no remainder, and the decimal terminates. Therefore, 12/30 as a decimal is 0.4.