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
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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
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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
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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
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0
-
30
- 20
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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.
use long division convert 13/20 to a decimal
1 answer