Question

Express the fraction $\frac{7}{11}$ as a decimal.

• A. $0.6273$
• B. $0.6363$
• C. $0.\overline{63}$
• D. $0.\overline{6}$

Answer 1

The correct option is C $0.\overline{63}$

Dividing 7 by 11 using long division, we have:


We observe that the division goes on and gets repeated. The digits 6 and 3 after the decimal point in the quotient repeat themselves indefinitely in that order.

$\therefore \frac{7}{11}=\mathrm{0.636363...}=0.\overline{63}$