Question
Use long division to convert 7/11 to a decimal
Answers
GPT 3.5
To convert 7/11 into a decimal using long division, follow these steps:
1. Write down 7 as the dividend and 11 as the divisor.
2. Divide 7 by 11. The answer will be the whole number part of the decimal.
- 11 can't go into 7, so write 0 as the whole number part.
3. Multiply 0 by 11, which gives 0, and write it below the 7.
4. Subtract 0 from 7, which gives 7.
5. Bring down the next digit of the dividend, which is 0, and append it to the 7.
6. Now, divide 70 by 11.
- 11 goes into 70 six times (6 x 11 = 66), so write 6 above the line.
7. Multiply 6 by 11, which gives 66, and write it below the 70.
8. Subtract 66 from 70, which gives 4.
9. Bring down the next digit of the dividend, which is 0, and append it to the 4.
10. Divide 40 by 11.
- 11 goes into 40 three times (3 x 11 = 33), so write 3 above the line.
11. Multiply 3 by 11, which gives 33, and write it below the 40.
12. Subtract 33 from 40, which gives 7.
13. There are no more digits in the dividend.
14. The final quotient is 0.636363..., which represents 7 divided by 11.
Therefore, 7/11 as a decimal is approximately 0.636363... (the 36 repeating indefinitely).
1. Write down 7 as the dividend and 11 as the divisor.
2. Divide 7 by 11. The answer will be the whole number part of the decimal.
- 11 can't go into 7, so write 0 as the whole number part.
3. Multiply 0 by 11, which gives 0, and write it below the 7.
4. Subtract 0 from 7, which gives 7.
5. Bring down the next digit of the dividend, which is 0, and append it to the 7.
6. Now, divide 70 by 11.
- 11 goes into 70 six times (6 x 11 = 66), so write 6 above the line.
7. Multiply 6 by 11, which gives 66, and write it below the 70.
8. Subtract 66 from 70, which gives 4.
9. Bring down the next digit of the dividend, which is 0, and append it to the 4.
10. Divide 40 by 11.
- 11 goes into 40 three times (3 x 11 = 33), so write 3 above the line.
11. Multiply 3 by 11, which gives 33, and write it below the 40.
12. Subtract 33 from 40, which gives 7.
13. There are no more digits in the dividend.
14. The final quotient is 0.636363..., which represents 7 divided by 11.
Therefore, 7/11 as a decimal is approximately 0.636363... (the 36 repeating indefinitely).
Use long division to convert 5 3/16 to a decimal
GPT 3.5
To convert 5 3/16 into a decimal using long division, follow these steps:
1. Write down 5 as the whole number part of the mixed number and 3 as the numerator of the fraction part. Write 16 as the denominator of the fraction part.
2. Multiply the whole number part (5) by the denominator (16). This gives us 80, which we will use as the starting point for the long division.
3. Write 80 as the dividend and 16 as the divisor.
4. Divide 80 by 16. The answer will be the whole number part of the decimal.
- 16 goes into 80 five times (5 x 16 = 80), so write 5 above the line.
5. Multiply 5 by 16, which gives 80, and write it below the line.
6. Subtract 80 from 80, which gives 0.
7. Bring down the next digit of the mixed number, which is 3, and append it to the 0.
8. Divide 30 (the new dividend) by 16.
- 16 can't go into 30, so write 0 as the next digit.
9. Multiply 0 by 16, which gives 0, and write it below the line.
10. Subtract 0 from 30, which gives 30.
11. Bring down the next digit of the mixed number, which is 0, and append it to the 30.
12. Divide 300 (the new dividend) by 16.
- 16 goes into 300 eighteen times (18 x 16 = 288), so write 18 above the line.
13. Multiply 18 by 16, which gives 288, and write it below the line.
14. Subtract 288 from 300, which gives 12.
15. There are no more digits in the mixed number.
16. The final quotient is 5.1875.
Therefore, 5 3/16 as a decimal is approximately 5.1875.
1. Write down 5 as the whole number part of the mixed number and 3 as the numerator of the fraction part. Write 16 as the denominator of the fraction part.
2. Multiply the whole number part (5) by the denominator (16). This gives us 80, which we will use as the starting point for the long division.
3. Write 80 as the dividend and 16 as the divisor.
4. Divide 80 by 16. The answer will be the whole number part of the decimal.
- 16 goes into 80 five times (5 x 16 = 80), so write 5 above the line.
5. Multiply 5 by 16, which gives 80, and write it below the line.
6. Subtract 80 from 80, which gives 0.
7. Bring down the next digit of the mixed number, which is 3, and append it to the 0.
8. Divide 30 (the new dividend) by 16.
- 16 can't go into 30, so write 0 as the next digit.
9. Multiply 0 by 16, which gives 0, and write it below the line.
10. Subtract 0 from 30, which gives 30.
11. Bring down the next digit of the mixed number, which is 0, and append it to the 30.
12. Divide 300 (the new dividend) by 16.
- 16 goes into 300 eighteen times (18 x 16 = 288), so write 18 above the line.
13. Multiply 18 by 16, which gives 288, and write it below the line.
14. Subtract 288 from 300, which gives 12.
15. There are no more digits in the mixed number.
16. The final quotient is 5.1875.
Therefore, 5 3/16 as a decimal is approximately 5.1875.