\( \begin{aligned}&\text{Set }x\text{ equal to the recurring decimal.}\\&\text{Multiply by a power of 10 to align repeats.}\\&\text{Subtract to eliminate the repeat and solve for }x.\end{aligned} \)
Question 13:
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\(\text{Prove algebraically that }0.\overline{7}\text{ can be written as }\dfrac{7}{9}.\)