Use long division to convert 7/11 to a decimal.

1 answer

To convert 7/11 to a decimal using long division, follow these steps:

1. Write 7 as the dividend inside the long division bracket and 11 as the divisor outside the bracket.
2. Divide 7 by 11. The quotient is 0.
3. Multiply the divisor (11) by 0 and write the result (0) below the dividend (7).
4. Subtract 0 from 7. The result is 7.
5. Bring down the next digit, which is 0, from the dividend.
6. Divide 70 (the current dividend) by 11 (the divisor). The quotient is 6.
7. Multiply the divisor (11) by 6 and write the result (66) below the current dividend (70).
8. Subtract 66 from 70. The result is 4.
9. Since there are no more digits to bring down, the division process ends.

Therefore, 7/11 expressed as a decimal is approximately 0.636363, where 36 repeats infinitely.
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