2. Напишите в рамочке один из знаков <, =, > так, чтобы была верной каждая запись: <math>\(\frac{1}{5}\) \(\square\) \(\frac{3}{10}\)</math> <math>\(\frac{3}{5}\) \(\square\) \(\frac{21}{40}\)</math> <math>\(\frac{2}{7}\) \(\square\) \(\frac{1}{15}\)</math> <math>\(\frac{7}{15}\) \(\square\) \(\frac{2}{5}\)</math> <math>\(\frac{1}{17}\) \(\square\) \(\frac{3}{51}\)</math> <math>\(\frac{17}{40}\) \(\square\) \(\frac{17}{21}\)</math> <math>\(\frac{1}{2}\) \(\square\) \(\frac{3}{4}\)</math> <math>\(\frac{7}{12}\) \(\square\) \(\frac{39}{48}\)</math> <math>\(\frac{2}{9}\) \(\square\) \(\frac{6}{27}\)</math> <math>\(\frac{5}{13}\) \(\square\) \(\frac{5}{11}\)</math> <math>\(\frac{5}{18}\) \(\square\) \(\frac{7}{15}\)</math>

Заполняем пропуски знаками сравнения:

$\backslash (\backslash frac\{1\}\{5\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{3\}\{10\}\backslash )$ → , значит, ставим знак <.

$\backslash (\backslash frac\{3\}\{5\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{21\}\{40\}\backslash )$ → $\backslash (\backslash frac\{24\}\{40\}\backslash )\; >\; \backslash (\backslash frac\{21\}\{40\}\backslash )$, значит, ставим знак >.

$\backslash (\backslash frac\{2\}\{7\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{1\}\{15\}\backslash )$ → $\backslash (\backslash frac\{30\}\{105\}\backslash )\; >\; \backslash (\backslash frac\{7\}\{105\}\backslash )$, значит, ставим знак >.

$\backslash (\backslash frac\{7\}\{15\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{2\}\{5\}\backslash )$ → $\backslash (\backslash frac\{7\}\{15\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{6\}\{15\}\backslash )$, значит, ставим знак >.

$\backslash (\backslash frac\{1\}\{17\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{3\}\{51\}\backslash )$ → $\backslash (\backslash frac\{3\}\{51\}\backslash )$ = $\backslash (\backslash frac\{3\}\{51\}\backslash )$, значит, ставим знак =.

$\backslash (\backslash frac\{17\}\{40\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{17\}\{21\}\backslash )$ → , значит, ставим знак <.

$\backslash (\backslash frac\{1\}\{2\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{3\}\{4\}\backslash )$ → , значит, ставим знак <.

$\backslash (\backslash frac\{7\}\{12\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{39\}\{48\}\backslash )$ → , значит, ставим знак <.

$\backslash (\backslash frac\{2\}\{9\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{6\}\{27\}\backslash )$ → $\backslash (\backslash frac\{6\}\{27\}\backslash )$ = $\backslash (\backslash frac\{6\}\{27\}\backslash )$, значит, ставим знак =.

$\backslash (\backslash frac\{5\}\{13\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{5\}\{11\}\backslash )$ → , значит, ставим знак <.

$\backslash (\backslash frac\{5\}\{18\}\backslash )$ $\backslash (\backslash square\backslash )$ $\backslash (\backslash frac\{7\}\{15\}\backslash )$ → , значит, ставим знак <.