51 10 8 18181111 14 14 18 18 이 9.2 24-3 이유를 вычитание сменных дробе 3 110- 13-11 3 15-2---2- 310-511-17507- 13 8 10-8 3. сложение в вычитание дробей с разными 17.25. 11.5.35 24 36 7117 25 50 12 18 01001 15 8 -3- 25 15 19:5- 5:7 Задание 7. Сократите дробь: 8 10 75 25 25 110- 318- 324" 3 4 179 63 96 48- 72 33 LL 7 3 10 12 511 7 스크 3 12 8 16 16 311 쓸 Задание В. Вычислите значение выражения: 21.(금) (+) 3:1+5:1 (2-1) 28 13+115:9 5:10

Задание 1.

\[13 \frac{17}{18} - 6 \frac{5}{18} = (13 - 6) + (\frac{17}{18} - \frac{5}{18}) = 7 + \frac{12}{18} = 7 \frac{2}{3}\]

\[8 \frac{5}{11} - 6 \frac{5}{11} = (8 - 6) + (\frac{5}{11} - \frac{5}{11}) = 2 + 0 = 2\]

\[17 \frac{10}{18} - 10 \frac{10}{18} = (17 - 10) + (\frac{10}{18} - \frac{10}{18}) = 7 + 0 = 7\]

\[10 \frac{8}{9} - \frac{9}{9} = 10 \frac{8}{9} - 1 = 9 \frac{8}{9}\]

Задание 2.

\[13 \frac{3}{24} + 11 \frac{11}{24} = (13 + 11) + (\frac{3}{24} + \frac{11}{24}) = 24 + \frac{14}{24} = 24 \frac{7}{12}\]

\[5 \frac{2}{14} + 2 \frac{3}{14} = (5 + 2) + (\frac{2}{14} + \frac{3}{14}) = 7 + \frac{5}{14} = 7 \frac{5}{14}\]

\[5 \frac{4}{9} + \frac{6}{9} = 5 + (\frac{4}{9} + \frac{6}{9}) = 5 + \frac{10}{9} = 5 + 1 \frac{1}{9} = 6 \frac{1}{9}\]

\[7 \frac{3}{8} - 2 \frac{1}{8} = (7 - 2) + (\frac{3}{8} - \frac{1}{8}) = 5 + \frac{2}{8} = 5 \frac{1}{4}\]

\[10 \frac{3}{13} + 5 \frac{5}{13} = (10 + 5) + (\frac{3}{13} + \frac{5}{13}) = 15 + \frac{8}{13} = 15 \frac{8}{13}\]

\[17 \frac{9}{10} + 50 \frac{7}{10} = (17 + 50) + (\frac{9}{10} + \frac{7}{10}) = 67 + \frac{16}{10} = 67 + 1 \frac{6}{10} = 68 \frac{3}{5}\]

\[5 \frac{8}{9} - 3 = (5 - 3) + \frac{8}{9} = 2 + \frac{8}{9} = 2 \frac{8}{9}\]

\[10 \frac{5}{14} - 8 \frac{3}{14} = (10 - 8) + (\frac{5}{14} - \frac{3}{14}) = 2 + \frac{2}{14} = 2 \frac{1}{7}\]

Задание 3.

\[\frac{3}{4} + \frac{5}{7} = \frac{3 \cdot 7 + 5 \cdot 4}{4 \cdot 7} = \frac{21 + 20}{28} = \frac{41}{28} = 1 \frac{13}{28}\]

\[\frac{17}{24} + \frac{25}{36} = \frac{17 \cdot 3 + 25 \cdot 2}{72} = \frac{51 + 50}{72} = \frac{101}{72} = 1 \frac{29}{72}\]

\[\frac{11}{18} - \frac{5}{12} = \frac{11 \cdot 2 - 5 \cdot 3}{36} = \frac{22 - 15}{36} = \frac{7}{36}\]

\[\frac{3}{5} - \frac{5}{13} = \frac{3 \cdot 13 - 5 \cdot 5}{65} = \frac{39 - 25}{65} = \frac{14}{65}\]

\[\frac{1}{14} + \frac{5}{12} = \frac{1 \cdot 6 + 5 \cdot 7}{84} = \frac{6 + 35}{84} = \frac{41}{84}\]

\[\frac{7}{8} - \frac{1}{3} = \frac{7 \cdot 3 - 1 \cdot 8}{24} = \frac{21 - 8}{24} = \frac{13}{24}\]

\[2 \frac{1}{3} + 1 \frac{1}{2} = \frac{7}{3} + \frac{3}{2} = \frac{7 \cdot 2 + 3 \cdot 3}{6} = \frac{14 + 9}{6} = \frac{23}{6} = 3 \frac{5}{6}\]

\[\frac{7}{12} - \frac{1}{18} = \frac{7 \cdot 3 - 1 \cdot 2}{36} = \frac{21 - 2}{36} = \frac{19}{36}\]

\[1 \frac{17}{100} - \frac{9}{10} = \frac{117}{100} - \frac{90}{100} = \frac{27}{100}\]

Задание 4.

\[\frac{3}{7} > \frac{2}{5}\]

\[\frac{2}{5} < \frac{3}{11}\]

\[\frac{7}{8} > \frac{3}{4}\]

\[\frac{3}{10} < \frac{7}{12}\]

\[\frac{2}{3} > \frac{7}{11}\]

\[\frac{1}{4} < \frac{3}{16}\]

\[\frac{7}{5} > \frac{8}{12}\]

\[\frac{12}{24} = \frac{8}{16}\]

Задание 6.

\[1 \frac{3}{8} : \frac{1}{7} = \frac{11}{8} \cdot 7 = \frac{77}{8} = 9 \frac{5}{8}\]

\[5 \frac{3}{24} : 10 = \frac{123}{24} : 10 = \frac{41}{80}\]

\[4 \frac{1}{15} : 3 = \frac{61}{15} : 3 = \frac{61}{45} = 1 \frac{16}{45}\]

\[3 \frac{4}{9} : \frac{2}{27} = \frac{31}{9} \cdot \frac{27}{2} = \frac{31 \cdot 3}{2} = \frac{93}{2} = 46 \frac{1}{2}\]

\[8 \frac{4}{25} : \frac{8}{15} = \frac{204}{25} \cdot \frac{15}{8} = \frac{204 \cdot 3}{5 \cdot 8} = \frac{51 \cdot 3}{5 \cdot 2} = \frac{153}{10} = 15 \frac{3}{10}\]

\[10 : 17 \frac{1}{5} = 10 : \frac{86}{5} = 10 \cdot \frac{5}{86} = \frac{50}{86} = \frac{25}{43}\]

\[5 : 7 \frac{1}{2} = 5 : \frac{15}{2} = 5 \cdot \frac{2}{15} = \frac{10}{15} = \frac{2}{3}\]

\[1 \frac{3}{18} : 1 \frac{8}{15} = \frac{21}{18} : \frac{23}{15} = \frac{21}{18} \cdot \frac{15}{23} = \frac{7 \cdot 5}{6 \cdot 23} = \frac{35}{46}\]

Задание 7.

\[\frac{8}{10} = \frac{4}{5}\]

\[\frac{25}{75} = \frac{1}{3}\]

\[\frac{10}{25} = \frac{2}{5}\]

\[\frac{18}{24} = \frac{3}{4}\]

\[\frac{14}{16} = \frac{7}{8}\]

\[\frac{3}{63} = \frac{1}{21}\]

\[\frac{4}{96} = \frac{1}{24}\]

\[\frac{48}{72} = \frac{2}{3}\]

\[\frac{33}{77} = \frac{3}{7}\]

\[\frac{12}{30} = \frac{2}{5}\]

Задание 8.

\[21 \cdot (\frac{13}{24} - \frac{7}{12}) \cdot \frac{1}{6} = 21 \cdot (\frac{13 - 14}{24}) \cdot \frac{1}{6} = 21 \cdot (\frac{-1}{24}) \cdot \frac{1}{6} = \frac{-7}{48}\]

\[\frac{29}{7} \cdot (\frac{2}{7} + \frac{3}{4}) = \frac{29}{7} \cdot (\frac{8 + 21}{28}) = \frac{29}{7} \cdot \frac{29}{28} = \frac{841}{196} = 4 \frac{57}{196}\]

\[3 : \frac{1}{2} + 5 : 1 \frac{1}{4} = 3 \cdot 2 + 5 : \frac{5}{4} = 6 + 5 \cdot \frac{4}{5} = 6 + 4 = 10\]

\[(\frac{2}{16} - \frac{1}{14}) \cdot 28 = (\frac{1}{8} - \frac{1}{14}) \cdot 28 = (\frac{7 - 4}{56}) \cdot 28 = \frac{3}{56} \cdot 28 = \frac{3}{2} = 1 \frac{1}{2}\]

\[13 \frac{2}{5} + 11 \frac{1}{3} : \frac{9}{5} = \frac{67}{5} + \frac{34}{3} \cdot \frac{5}{9} = \frac{67}{5} + \frac{34 \cdot 5}{3 \cdot 9} = \frac{67}{5} + \frac{170}{27} = \frac{67 \cdot 27 + 170 \cdot 5}{135} = \frac{1809 + 850}{135} = \frac{2659}{135} = 19 \frac{104}{135}\]

\[\frac{4}{2} - \frac{1}{9} : 8 - 5 \cdot \frac{1}{10} + \frac{2}{3} = 2 - \frac{1}{9 \cdot 8} - \frac{1}{2} + \frac{2}{3} = 2 - \frac{1}{72} - \frac{1}{2} + \frac{2}{3} = \frac{2 \cdot 72 - 1 - 36 + 48}{72} = \frac{144 - 1 - 36 + 48}{72} = \frac{155}{72} = 2 \frac{11}{72}\]