ГДЗ: Упражнение 2.172 — Сравнение, сложение и вычитание обыкновенных дробей / Математика 6 класс. Часть 1

Переносим известные слагаемые; t = \(\frac{11}{12}\)-\(\frac{5}{9}\)+\(\frac{11}{18}\).

\(\frac{11}{12}\) − \(\frac{5}{9}\) = \(\frac{33}{36}\) − \(\frac{20}{36}\) = \(\frac{13}{36}\).

\(\frac{13}{36}\) + \(\frac{11}{18}\) = \(\frac{13}{36}\) + \(\frac{22}{36}\) = \(\frac{35}{36}\).

Ответ: \(\frac{35}{36}\).

Переносим известные слагаемые; z = \(\frac{1}{5}\)-\(\frac{4}{5}\)+\(\frac{9}{10}\).

\(\frac{1}{5}\) − \(\frac{4}{5}\) = -\(\frac{3}{5}\).

-\(\frac{3}{5}\) + \(\frac{9}{10}\) = -\(\frac{6}{10}\) + \(\frac{9}{10}\) = \(\frac{3}{10}\).

Ответ: \(\frac{3}{10}\).

Переносим известные слагаемые; z = \(\frac{11}{15}\)+\(\frac{9}{20}\)-\(\frac{5}{12}\).

\(\frac{11}{15}\) + \(\frac{9}{20}\) = \(\frac{44}{60}\) + \(\frac{27}{60}\) = \(\frac{71}{60}\).

\(\frac{71}{60}\) − \(\frac{5}{12}\) = \(\frac{71}{60}\) − \(\frac{25}{60}\) = \(\frac{23}{30}\).

Ответ: \(\frac{23}{30}\).

Переносим известные слагаемые; x = \(\frac{4}{5}\)-\(\frac{2}{3}\)-\(\frac{1}{60}\).

\(\frac{4}{5}\) − \(\frac{2}{3}\) = \(\frac{12}{15}\) − \(\frac{10}{15}\) = \(\frac{2}{15}\).

\(\frac{2}{15}\) − \(\frac{1}{60}\) = \(\frac{8}{60}\) − \(\frac{1}{60}\) = \(\frac{7}{60}\).

Ответ: \(\frac{7}{60}\).