To convert 12/30 to a decimal using long division, follow these steps:
1. Set up the long division problem by writing 12 as the numerator and 30 as the denominator.
```
____
30 | 12
```
2. Divide the first digit of the numerator (1) by the denominator (3). The result, 0, goes on top of the long division bar.
```
____
30 | 12
0
```
3. Multiply the result (0) by the denominator (30) and subtract it from the numerator (12). This will give you the remainder, which then becomes the new numerator.
```
____
30 | 12
0
------
12
```
4. Bring down the next digit from the numerator, which is 2, and place it next to the remainder. Now you have 12 as the new numerator.
```
____
30 | 12
0
------
12
```
5. Repeat the process of dividing the new numerator (12) by the denominator (30). The result will be the next digit of the decimal.
```
____
30 | 12
0
------
12) .
```
6. Since 12 is less than 30, you can add a decimal point and a zero to the right of the previous digit. Bring down the next digit from the numerator (0) and place it as the new numerator.
```
____
30 | 12
0 .
------
12) .0
```
7. Divide the new numerator (12) by the denominator (30) once again. The result is 0.
```
____
30 | 12
0 .
------
12) .0
```
8. Continue the process by bringing down zeros from the numerator until you either get a repeating pattern or reach the desired level of precision.
In this case, the division does not produce a repeating pattern. So, the final result is:
12/30 = 0.4
Use long division to convert 12/30
to a decimal.
3 answers
Use long division to convert 6 7/20
to a decimal.
to a decimal.
To convert 6 7/20 to a decimal using long division, follow these steps:
1. Convert the mixed number 6 7/20 to an improper fraction. Multiply the whole number (6) by the denominator (20) and add the numerator (7). This gives:
6 7/20 = (6 * 20 + 7)/20 = 127/20
2. Set up the long division problem by writing 127 as the numerator and 20 as the denominator.
```
______
20 | 127
```
3. Divide the first digit of the numerator (1) by the denominator (20). The result, 0, goes on top of the long division bar.
```
______
20 | 127
0
```
4. Multiply the result (0) by the denominator (20) and subtract it from the numerator (127). This will give you the remainder, which then becomes the new numerator.
```
______
20 | 127
0
------
127
```
5. Bring down the next digit from the numerator, which is 2, and place it next to the remainder. Now you have 127 as the new numerator.
```
______
20 | 127
0
------
127
```
6. Repeat the process of dividing the new numerator (127) by the denominator (20). The result will be the next digit of the decimal.
```
______
20 | 127
0
------
127) 0.
```
7. Since 127 is greater than 20, you can add a decimal point and a zero to the right of the previous digit. Bring down the next digit from the numerator (7) and place it as the new numerator.
```
______
20 | 127
0.
------
127) 0.7
```
8. Divide the new numerator (7) by the denominator (20) once again. The result is 0.
```
______
20 | 127
0.
------
127) 0.7
-0
------
7
```
9. Continue the process by bringing down zeros from the numerator until you either get a repeating pattern or reach the desired level of precision.
In this case, the division does not produce a repeating pattern. So, the final result is:
6 7/20 = 6.35
1. Convert the mixed number 6 7/20 to an improper fraction. Multiply the whole number (6) by the denominator (20) and add the numerator (7). This gives:
6 7/20 = (6 * 20 + 7)/20 = 127/20
2. Set up the long division problem by writing 127 as the numerator and 20 as the denominator.
```
______
20 | 127
```
3. Divide the first digit of the numerator (1) by the denominator (20). The result, 0, goes on top of the long division bar.
```
______
20 | 127
0
```
4. Multiply the result (0) by the denominator (20) and subtract it from the numerator (127). This will give you the remainder, which then becomes the new numerator.
```
______
20 | 127
0
------
127
```
5. Bring down the next digit from the numerator, which is 2, and place it next to the remainder. Now you have 127 as the new numerator.
```
______
20 | 127
0
------
127
```
6. Repeat the process of dividing the new numerator (127) by the denominator (20). The result will be the next digit of the decimal.
```
______
20 | 127
0
------
127) 0.
```
7. Since 127 is greater than 20, you can add a decimal point and a zero to the right of the previous digit. Bring down the next digit from the numerator (7) and place it as the new numerator.
```
______
20 | 127
0.
------
127) 0.7
```
8. Divide the new numerator (7) by the denominator (20) once again. The result is 0.
```
______
20 | 127
0.
------
127) 0.7
-0
------
7
```
9. Continue the process by bringing down zeros from the numerator until you either get a repeating pattern or reach the desired level of precision.
In this case, the division does not produce a repeating pattern. So, the final result is:
6 7/20 = 6.35