use long division convert 13/20 to a decimal
To convert 13/20 to a decimal using long division, follow these steps:
Step 1: Set up the long division with the dividend (13) inside the division symbol and the divisor (20) outside the division symbol.
__0.
20 | 13
Step 2: Divide the first digit of the dividend (1) by the divisor (20). The quotient is the first digit of the decimal answer. Place the quotient (0) above the division symbol.
0.
20 | 13
Step 3: Multiply the divisor (20) by the quotient (0) and subtract the result from the dividend (13). Write the difference below the line.
0.
20 | 13
-----
0
Step 4: Bring down the next digit from the dividend (3) and place it to the right of the difference obtained in step 3. You now have a new dividend of 30.
0.
20 | 13
-----
0
Step 5: Divide the new dividend (30) by the divisor (20). The quotient is the next digit of the decimal answer. Place the quotient (1) next to the previous quotient.
0.6
20 | 13
-----
0
-
30
Step 6: Multiply the divisor (20) by the quotient (1) and subtract the result from the new dividend (30). Write the difference below the line.
0.65
20 | 13
-----
0
-
30
- 20
-----
10
Step 7: Since the new dividend (10) is less than the divisor (20), we have reached the end of long division.
Step 8: The final quotient is 0.65.
Therefore, 13/20 as a decimal is 0.65.
To convert 13/20 to a decimal using long division, follow these steps:
1. Set up the long division problem by placing 13 as the dividend and 20 as the divisor:
_______
20 | 13
2. Divide the first digit of the dividend (1) by the divisor (20). The quotient will be the first digit of the decimal:
0.
20 | 13
The first digit of the decimal is 0.
3. Multiply the divisor (20) by the quotient (0), and subtract the product from the dividend (13):
-
20 | 13
-
0
Since the difference is less than the divisor, bring down the next digit (3).
-
20 | 13
-
03
4. Now, divide the new number (3) by the divisor (20). The quotient will be the next digit of the decimal:
0.65
20 | 13
-
03
-
020
The second digit of the decimal is 6.
5. Multiply the divisor (20) by the quotient (6), and subtract the product from the previous difference:
0.65
20 | 13
-
03
-
020
-
013
Since the difference is not zero, bring down the next digit (0).
0.65
20 | 13
-
030
-
020
-
013
-
007
6. Divide the new number (7) by the divisor (20). The quotient will be the next digit of the decimal:
0.65
20 | 13
-
030
-
020
-
013
-
007
-
0070
The third digit of the decimal is 0.
7. Multiply the divisor (20) by the quotient (0), and subtract the product from the previous difference:
0.65
20 | 13
-
030
-
020
-
013
-
007
-
0070
-
0000
The difference is now zero, which means the division is complete.
8. Therefore, 13/20 as a decimal is 0.65.
So, 13/20 = 0.65.