Summary of reciprocal of natural number — lesson. Mathematics State Board, Class 9.

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Natural number	Reciprocal	Decimal expansion	Nature of decimal expansion
$2$	$1/2$	$\frac{1}{2} = 0.5$	Terminating decimal expansion
$3$	$1/3$	$\begin{array}{l} \frac{1}{3} = 0.33333... \\ = 0. \bar{3} \end{array}$	Non-terminating and recurring decimal expansion
$4$	$1/4$	$\frac{1}{4} = 0.25$	Terminating decimal expansion
$5$	$1/5$	$\frac{1}{5} = 0.2$	Terminating decimal expansion
$6$	$1/6$	$\begin{array}{l} \frac{1}{6} = 0.16666... \\ = 0.1 \bar{6} \end{array}$	Non-terminating and recurring decimal expansion
$7$	$1/7$	$\begin{array}{l} \frac{1}{7} = 0.142857142857... \\ = 0. \bar{142857} \end{array}$	Non-terminating and recurring decimal expansion
$8$	$1/8$	$\frac{1}{8} = 0.125$	Terminating decimal expansion
$9$	$1/9$	$\begin{array}{l} \frac{1}{9} = 0.11111... \\ = 0. \bar{1} \end{array}$	Non-terminating and recurring decimal expansion
$10$	$1/10$	$\frac{1}{10} = 0.1$	Terminating decimal expansion
$11$	$1/11$	$\begin{array}{l} \frac{1}{11} = 0.090909... \\ = 0. \bar{09} \end{array}$	Non-terminating and recurring decimal expansion
$12$	$1/12$	$\begin{array}{l} \frac{1}{12} = 0.083333... \\ = 0.08 \bar{3} \end{array}$	Non-terminating and recurring decimal expansion
$13$	$1/13$	$\begin{array}{l} \frac{1}{13} = 0.076923076923... \\ = 0. \bar{076923} \end{array}$	Non-terminating and recurring decimal expansion
$14$	$1/14$	$\begin{array}{l} \frac{1}{14} = 0.0714285714285... \\ = 0 \bar{714285} \end{array}$	Non-terminating and recurring decimal expansion
$15$	$1/15$	$\begin{array}{l} \frac{1}{15} = 0.06666... \\ = 0 \bar{6} \end{array}$	Non-terminating and recurring decimal expansion
$16$	$1/16$	$\frac{1}{16} = 0.0625$	Terminating decimal expansion
$17$	$1/17$	$\begin{array}{l} \frac{1}{17} = 0.588235294117647... \\ = 0. \bar{0588235294117647} \end{array}$	Non-terminating and recurring decimal expansion
$18$	$1/18$	$\begin{array}{l} \frac{1}{18} = 0.0555555... \\ = 0 \bar{5} \end{array}$	Non-terminating and recurring decimal expansion
$19$	$1/19$	$\begin{array}{l} \frac{1}{19} = 0.052631578947368421... \\ = 0. \bar{052631578947368421} \end{array}$	Non-terminating and recurring decimal expansion
$20$	$1/20$	$\frac{1}{20} = 0.05$	Terminating decimal expansion
$21$	$1/21$	$\frac{1}{21} = 0. \bar{047619}$	Non-terminating and recurring decimal expansion
$22$	$1/22$	$\frac{1}{22} = 0 \bar{45}$	Non-terminating and recurring decimal expansion
$23$	$1/23$	$\begin{array}{l} \frac{1}{23} = 0.0434782608695652173913... \\ = \bar{0434782608695652173913} \end{array}$	Non-terminating and recurring decimal expansion
$24$	$1/24$	$\begin{array}{l} \frac{1}{24} = 0.041666... \\ = 0.041 \bar{6} \end{array}$	Non-terminating and recurring decimal expansion
$25$	$1/25$	$\frac{1}{25} = 0.04$	Terminating decimal expansion

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2. Summary of reciprocal of natural number

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