ГДЗ Математика 6 клас Істер — Вправа 505

1) $(2\frac{5}{24} - 1\frac{7}{32}) \cdot 2\frac{10}{19} - 2\frac{1}{4} = 0,25;$

1) $2\frac{5}{24} - 1\frac{7}{32} = 2\frac{20}{96} - 1\frac{21}{96} = 1\frac{116}{96} - 1\frac{21}{96} = \frac{95}{96};$

2) $\frac{95}{96} \cdot 2\frac{10}{19} = \frac{95}{96} \cdot \frac{48}{19} = \frac{5}{2} = 2,5;$

3) $2,5 - 2\frac{1}{4} = 2,5 - 2,25 = 0,25.$

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2) $\frac{71}{96} : (2\frac{7}{8} \cdot \frac{9}{46} + \frac{11}{12}) = 0,5;$

1) $2\frac{7}{8} \cdot \frac{9}{46} = \frac{23}{8} \cdot \frac{9}{46} = \frac{9}{16};$

2) $\frac{9}{16} + \frac{11}{12} = \frac{27}{48} + \frac{44}{48} = \frac{71}{48};$

3) $\frac{71}{96} : \frac{71}{48} = \frac{71}{96} \cdot \frac{48}{71} = \frac{1}{2} = 0,5.$

Відповідь: 1) $0,25$; 2) $0,5$.