На изображении представлены три самостоятельных задания по теме «Обыкновенные дроби. Сложение»: 1) Базовый уровень («3»): вычислите 3/7 + 2/7; 15/7 + 6/7; 13/49 + 36/49; 15/100 + 5/100; 23/43 + 20/43; 32/57 + 12/57; 33/117 + 12/117; 6/15 + 4/15; 33/10 + 7/10. 2) Повышенный уровень («4»): сложите дроби и полученную дробь сократите: 3/5 + 1/7; 9/15 + 7/5; 13/39 + 26/39; 9/10 + 1/100; 11/170 + 13/17; 17/51 + 34/5; 43/17 + 16/34; 23/6 + 34/66; 30/110 + 7/11. 3) Высокий уровень («5»): вычислите, применив закон сложения: (3/5 + 1/7) + 9/35; (3/4 + 1/6) + 7/12; (7/18 + 1/6) + 7/9; 7/15 + (2/9 + 5/6); 12/170 + 13/17 + 3/34; 5/17 + (3/85 + 5/6); 5/12 + (1/18 + 3/4); 1/12 + 3/5 + 3/24; 2/15 + 2/25 + 5/9.

1) Базовый уровень

1. \(\frac{3}{7}+\frac{2}{7}=\frac{5}{7}\).
2. \(\frac{15}{7}+\frac{6}{7}=\frac{21}{7}=3\).
3. \(\frac{13}{49}+\frac{36}{49}=\frac{49}{49}=1\).
4. \(\frac{15}{100}+\frac{5}{100}=\frac{20}{100}=\frac{1}{5}\).
5. \(\frac{23}{43}+\frac{20}{43}=\frac{43}{43}=1\).
6. \(\frac{32}{57}+\frac{12}{57}=\frac{44}{57}\).
7. \(\frac{33}{117}+\frac{12}{117}=\frac{45}{117}=\frac{5}{13}\).
8. \(\frac{6}{15}+\frac{4}{15}=\frac{10}{15}=\frac{2}{3}\).
9. \(\frac{33}{10}+\frac{7}{10}=\frac{40}{10}=4\).

2) Повышенный уровень

1. \(\frac{3}{5}+\frac{1}{7}=\frac{21}{35}+\frac{5}{35}=\frac{26}{35}\).
2. \(\frac{9}{15}+\frac{7}{5}=\frac{3}{5}+\frac{7}{5}=2\).
3. \(\frac{13}{39}+\frac{26}{39}=\frac{39}{39}=1\).
4. \(\frac{9}{10}+\frac{1}{100}=\frac{90}{100}+\frac{1}{100}=\frac{91}{100}\).
5. \(\frac{11}{170}+\frac{13}{17}=\frac{11}{170}+\frac{130}{170}=\frac{141}{170}\).
6. \(\frac{17}{51}+\frac{34}{5}=\frac{1}{3}+\frac{34}{5}=\frac{5}{15}+\frac{102}{15}=\frac{107}{15}\).
7. \(\frac{43}{17}+\frac{16}{34}=\frac{43}{17}+\frac{8}{17}=\frac{51}{17}=3\).
8. \(\frac{23}{6}+\frac{34}{66}=\frac{23}{6}+\frac{17}{33}=\frac{253}{66}+\frac{34}{66}=\frac{287}{66}\).
9. \(\frac{30}{110}+\frac{7}{11}=\frac{3}{11}+\frac{7}{11}=\frac{10}{11}\).

3) Высокий уровень

1. \(\left(\frac{3}{5}+\frac{1}{7}\right)+\frac{9}{35}=\frac{26}{35}+\frac{9}{35}=1\).
2. \(\left(\frac{3}{4}+\frac{1}{6}\right)+\frac{7}{12}=\frac{11}{12}+\frac{7}{12}=\frac{18}{12}=\frac{3}{2}\).
3. \(\left(\frac{7}{18}+\frac{1}{6}\right)+\frac{7}{9}=\frac{10}{18}+\frac{14}{18}+\frac{14}{18}=\frac{38}{18}=\frac{19}{9}\).
4. \(\frac{7}{15}+\left(\frac{2}{9}+\frac{5}{6}\right)=\frac{7}{15}+\frac{4}{18}+\frac{15}{18}=\frac{7}{15}+\frac{19}{18}=\frac{42}{90}+\frac{95}{90}=\frac{137}{90}\).
5. \(\frac{12}{170}+\frac{13}{17}+\frac{3}{34}=\frac{12}{170}+\frac{130}{170}+\frac{15}{170}=\frac{157}{170}\).
6. \(\frac{5}{17}+\left(\frac{3}{85}+\frac{5}{6}\right)=\frac{25}{85}+\frac{3}{85}+\frac{5}{6}=\frac{28}{85}+\frac{5}{6}=\frac{168}{510}+\frac{425}{510}=\frac{593}{510}\).
7. \(\frac{5}{12}+\left(\frac{1}{18}+\frac{3}{4}\right)=\frac{5}{12}+\frac{1}{18}+\frac{9}{12}=\frac{15}{12}+\frac{1}{18}=\frac{45}{36}+\frac{2}{36}=\frac{47}{36}\).
8. \(\frac{1}{12}+\frac{3}{5}+\frac{3}{24}=\frac{1}{12}+\frac{3}{5}+\frac{1}{8}=\frac{10}{120}+\frac{72}{120}+\frac{15}{120}=\frac{97}{120}\).
9. \(\frac{2}{15}+\frac{2}{25}+\frac{5}{9}=\frac{30}{225}+\frac{18}{225}+\frac{125}{225}=\frac{173}{225}\).