Вопрос:

Ты просишь меня решить примеры на сложение и вычитание дробей с разными знаменателями.

Фотография

Ответ ассистента

1) $\frac{3}{7} + \frac{16}{28} = \frac{3 * 4}{7 * 4} + \frac{16}{28} = \frac{12}{28} + \frac{16}{28} = \frac{12 + 16}{28} = \frac{28}{28} = 1$ 2) $\frac{1}{6} + \frac{5}{18} = \frac{1 * 3}{6 * 3} + \frac{5}{18} = \frac{3}{18} + \frac{5}{18} = \frac{3 + 5}{18} = \frac{8}{18} = \frac{4}{9}$ 3) $\frac{5}{7} + \frac{3}{14} = \frac{5 * 2}{7 * 2} + \frac{3}{14} = \frac{10}{14} + \frac{3}{14} = \frac{10 + 3}{14} = \frac{13}{14}$ 4) $\frac{7}{15} + \frac{3}{5} = \frac{7}{15} + \frac{3 * 3}{5 * 3} = \frac{7}{15} + \frac{9}{15} = \frac{7 + 9}{15} = \frac{16}{15}$ 5) $\frac{7}{15} + \frac{1}{3} = \frac{7}{15} + \frac{1 * 5}{3 * 5} = \frac{7}{15} + \frac{5}{15} = \frac{7 + 5}{15} = \frac{12}{15} = \frac{4}{5}$ 6) $\frac{2}{30} + \frac{3}{5} = \frac{2}{30} + \frac{3 * 6}{5 * 6} = \frac{2}{30} + \frac{18}{30} = \frac{2 + 18}{30} = \frac{20}{30} = \frac{2}{3}$ 7) $\frac{2}{7} + \frac{4}{21} = \frac{2 * 3}{7 * 3} + \frac{4}{21} = \frac{6}{21} + \frac{4}{21} = \frac{6 + 4}{21} = \frac{10}{21}$ 8) $\frac{3}{5} + \frac{11}{20} = \frac{3 * 4}{5 * 4} + \frac{11}{20} = \frac{12}{20} + \frac{11}{20} = \frac{12 + 11}{20} = \frac{23}{20}$ 9) $\frac{1}{5} + \frac{8}{15} = \frac{1 * 3}{5 * 3} + \frac{8}{15} = \frac{3}{15} + \frac{8}{15} = \frac{3 + 8}{15} = \frac{11}{15}$ 10) $\frac{12}{27} + \frac{2}{3} = \frac{12}{27} + \frac{2 * 9}{3 * 9} = \frac{12}{27} + \frac{18}{27} = \frac{12 + 18}{27} = \frac{30}{27} = \frac{10}{9}$ 11) $\frac{15}{81} + \frac{2}{9} = \frac{15}{81} + \frac{2 * 9}{9 * 9} = \frac{15}{81} + \frac{18}{81} = \frac{15 + 18}{81} = \frac{33}{81} = \frac{11}{27}$ 12) $\frac{7}{49} + \frac{1}{7} = \frac{7}{49} + \frac{1 * 7}{7 * 7} = \frac{7}{49} + \frac{7}{49} = \frac{7 + 7}{49} = \frac{14}{49} = \frac{2}{7}$ 13) $\frac{3}{2} + \frac{10}{16} = \frac{3 * 8}{2 * 8} + \frac{10}{16} = \frac{24}{16} + \frac{10}{16} = \frac{24 + 10}{16} = \frac{34}{16} = \frac{17}{8}$ 14) $\frac{10}{64} + \frac{1}{8} = \frac{10}{64} + \frac{1 * 8}{8 * 8} = \frac{10}{64} + \frac{8}{64} = \frac{10 + 8}{64} = \frac{18}{64} = \frac{9}{32}$ 15) $\frac{7}{3} + \frac{14}{27} = \frac{7 * 9}{3 * 9} + \frac{14}{27} = \frac{63}{27} + \frac{14}{27} = \frac{63 + 14}{27} = \frac{77}{27}$ 16) $\frac{8}{10} + \frac{1}{100} = \frac{8 * 10}{10 * 10} + \frac{1}{100} = \frac{80}{100} + \frac{1}{100} = \frac{80 + 1}{100} = \frac{81}{100}$ 17) $\frac{11}{100} + \frac{1}{5} = \frac{11}{100} + \frac{1 * 20}{5 * 20} = \frac{11}{100} + \frac{20}{100} = \frac{11 + 20}{100} = \frac{31}{100}$ 18) $\frac{4}{112} + \frac{10}{4} = \frac{4}{112} + \frac{10 * 28}{4 * 28} = \frac{4}{112} + \frac{280}{112} = \frac{4 + 280}{112} = \frac{284}{112} = \frac{71}{28}$ 19) $\frac{1}{70} + \frac{4}{210} = \frac{1 * 3}{70 * 3} + \frac{4}{210} = \frac{3}{210} + \frac{4}{210} = \frac{3 + 4}{210} = \frac{7}{210} = \frac{1}{30}$ 20) $\frac{14}{30} + \frac{18}{150} = \frac{14 * 5}{30 * 5} + \frac{18}{150} = \frac{70}{150} + \frac{18}{150} = \frac{70 + 18}{150} = \frac{88}{150} = \frac{44}{75}$ 21) $\frac{3}{75} + \frac{71}{450} = \frac{3 * 6}{75 * 6} + \frac{71}{450} = \frac{18}{450} + \frac{71}{450} = \frac{18 + 71}{450} = \frac{89}{450}$ 22) $\frac{4}{7} - \frac{16}{28} = \frac{4 * 4}{7 * 4} - \frac{16}{28} = \frac{16}{28} - \frac{16}{28} = \frac{16 - 16}{28} = \frac{0}{28} = 0$ 23) $\frac{4}{6} - \frac{5}{18} = \frac{4 * 3}{6 * 3} - \frac{5}{18} = \frac{12}{18} - \frac{5}{18} = \frac{12 - 5}{18} = \frac{7}{18}$ 24) $\frac{2}{2} - \frac{3}{3} = 1 - 1 = 0$ 25) $\frac{7}{15} - \frac{1}{5} = \frac{7}{15} - \frac{1 * 3}{5 * 3} = \frac{7}{15} - \frac{3}{15} = \frac{7 - 3}{15} = \frac{4}{15}$ 26) $\frac{10}{15} - \frac{2}{3} = \frac{10}{15} - \frac{2 * 5}{3 * 5} = \frac{10}{15} - \frac{10}{15} = \frac{10 - 10}{15} = \frac{0}{15} = 0$ 27) $\frac{22}{9} - \frac{7}{3} = \frac{22}{9} - \frac{7 * 3}{3 * 3} = \frac{22}{9} - \frac{21}{9} = \frac{22 - 21}{9} = \frac{1}{9}$ 28) $\frac{4}{7} - \frac{4}{21} = \frac{4 * 3}{7 * 3} - \frac{4}{21} = \frac{12}{21} - \frac{4}{21} = \frac{12 - 4}{21} = \frac{8}{21}$ 29) $\frac{3}{5} - \frac{11}{20} = \frac{3 * 4}{5 * 4} - \frac{11}{20} = \frac{12}{20} - \frac{11}{20} = \frac{12 - 11}{20} = \frac{1}{20}$ 30) $\frac{3}{5} - \frac{8}{15} = \frac{3 * 3}{5 * 3} - \frac{8}{15} = \frac{9}{15} - \frac{8}{15} = \frac{9 - 8}{15} = \frac{1}{15}$ 31) $\frac{21}{75} = \frac{27}{450} = \frac{21 * 6}{75 * 6} - \frac{27}{450} = \frac{126}{450} - \frac{27}{450} = \frac{126 - 27}{450} = \frac{99}{450} = \frac{11}{50}$ 32) $\frac{63}{4} - \frac{16}{81} = \frac{63}{4} - \frac{16}{81} = \frac{63 * 81}{4 * 81} - \frac{16 * 4}{81 * 4} = \frac{5103}{324} - \frac{64}{324} = \frac{5103 - 64}{324} = \frac{5039}{324}$ 33) $\frac{48}{49} - \frac{5}{49} = \frac{48 - 5}{49} = \frac{43}{49}$ 34) $\frac{10}{64} = \frac{3}{4} = \frac{10}{64} - \frac{3 * 16}{4 * 16} = \frac{10}{64} - \frac{48}{64} = \frac{10 - 48}{64} = \frac{-38}{64} = \frac{-19}{32}$ 35) $\frac{7}{3} - \frac{14}{27} = \frac{7 * 9}{3 * 9} - \frac{14}{27} = \frac{63}{27} - \frac{14}{27} = \frac{63 - 14}{27} = \frac{49}{27}$ 36) $\frac{8}{10} - \frac{1}{10} = \frac{8 - 1}{10} = \frac{7}{10}$ 37) $\frac{11}{100} - \frac{5}{40} = \frac{11}{100} - \frac{5 * 2.5}{40 * 2.5} = \frac{11}{100} - \frac{12.5}{100} = \frac{11 - 12.5}{100} = \frac{-1.5}{100} = \frac{-3}{200}$ 38) $\frac{4}{112} - \frac{4}{100} = \frac{4 * 25}{112 * 25} - \frac{4 * 28}{100 * 28} = \frac{100}{2800} - \frac{112}{2800} = \frac{100 - 112}{2800} = \frac{-12}{2800} = \frac{-3}{700}$ 39) $\frac{1}{70} - \frac{4}{10} = \frac{1}{70} - \frac{4 * 7}{10 * 7} = \frac{1}{70} - \frac{28}{70} = \frac{1 - 28}{70} = \frac{-27}{70}$ 40) $\frac{13}{40} - \frac{15}{900} = \frac{13 * 45}{40 * 45} - \frac{15 * 2}{900 * 2} = \frac{585}{1800} - \frac{30}{1800} = \frac{585 - 30}{1800} = \frac{555}{1800} = \frac{37}{120}$

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