How do you write \(\frac{7}{9}\) as a decimal, and does the decimal terminate or repeat?

0.68 and it terminates

Answered by khiggins20 | 2024-06-10

7/9=0.777777...
So therefore the decimal actually recurs. You can tell if a decimal recurs: If the denominator can be factorised into 2s and 5s, then it will terminate e.g. 1/20=1/5 2 2 so it terminates. If you can't factorise it with 2s and 5s the decimal will recur e.g. 7/9=7/1*9 so it recurs.

Answered by TaylorBayley | 2024-06-10

The fraction 9 7 ​ converts to the decimal 0.7 7 , which means the 7 repeats indefinitely. This decimal does not terminate, hence it is a repeating decimal. To convert a fraction to a decimal, divide the numerator by the denominator using long division.
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Answered by khiggins20 | 2024-12-26