ГДЗ Математика 6 клас Істер — Вправа 470

1) $(6\frac{1}{7} - 5\frac{3}{4}) : \frac{11}{14} + (3\frac{3}{4} - 1\frac{5}{6}) : \frac{1}{6} = 12;$

1) $6\frac{1}{7} - 5\frac{3}{4} = 6\frac{4}{28} - 5\frac{21}{28} = \frac{11}{28};$

2) $\frac{11}{28} : \frac{11}{14} = \frac{11}{28} \cdot \frac{14}{11} = \frac{1}{2} = 0,5;$

3) $3\frac{3}{4} - 1\frac{5}{6} = 3\frac{9}{12} - 1\frac{10}{12} = 1\frac{11}{12};$

4) $1\frac{11}{12} : \frac{1}{6} = \frac{23}{12} \cdot 6 = \frac{23}{2} = 11,5;$

5) $0,5 + 11,5 = 12.$

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2) $5\frac{4}{19} \cdot 3\frac{4}{7} + 1\frac{15}{19} : \frac{7}{25} - 1\frac{2}{3} = 23\frac{1}{3};$

1) $5\frac{4}{19} \cdot 3\frac{4}{7} = \frac{99}{19} \cdot \frac{25}{7} = \frac{2475}{133};$

2) $1\frac{15}{19} : \frac{7}{25} = \frac{34}{19} \cdot \frac{25}{7} = \frac{850}{133};$

3) $\frac{2475+850}{133} = \frac{3325}{133} = 25;$

4) $25 - 1\frac{2}{3} = 23\frac{1}{3}.$

Відповідь: 1) $12$; 2) $23\frac{1}{3}$.