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Use long division to convert 13/20 to a decimal. (1 point)
To convert 13/20 to a decimal using long division, follow these steps:
1) Write down the dividend (13) inside the division bracket, and the divisor (20) outside the division bracket.
```
______
20 | 13
```
2) Divide the first digit of the dividend (1) by the divisor (20). The result is 0. Write this result above the dividend.
```
______
20 | 13
- 0
```
3) Multiply the result (0) by the divisor (20) and subtract it from the first digit of the dividend (13). Write the result below the line.
```
______
20 | 13
- 0
13
```
4) Bring down the next digit of the dividend (3) to the right of the result.
```
______
20 | 13
- 0
13
____
30
```
5) Divide the new number (30) by the divisor (20). The result is 1. Write this result above the line.
```
______
20 | 13
- 0
13
____
30
- 20
10
```
6) Multiply the result (1) by the divisor (20) and subtract it from the new number (30). Write the result below the line.
```
______
20 | 13
- 0
13
____
30
- 20
10
```
7) There are no more digits to bring down, so the division is done. The remainder is 10.
The decimal representation of 13/20 is 0.65.
To convert the fraction 13/20 to a decimal using long division, follow these steps:
Step 1: Write down 13 as the dividend and 20 as the divisor:
13 | 20
Step 2: Divide 13 by 20. Since 20 does not divide evenly into 13, you need to add a decimal point and zeros to create a decimal division:
0. | 20
------
13 | 20
Step 3: Place a decimal point above the division bracket and add a zero after the decimal point. Then, divide 20 into 130:
0.6 | 20
------
13 | 20
- 0
0.6 | 20
------
130
- 120
------
10
Step 4: Bring down the next digit of the dividend (0) and place it next to the remainder (10) to create a new dividend, 100:
0.65 | 20
------
13 | 20
- 0
0.65 | 20
------
130
- 120
------
10
- 10
------
0
Step 5: Repeat the process by dividing 20 into 100:
0.65 | 20
------
13 | 20
- 0
0.65 | 20
------
130
- 120
------
10
- 10
------
0
Step 6: Since the remainder is 0, the division is complete. The result is 0.65.
Therefore, the fraction 13/20 is equivalent to the decimal 0.65.