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Oblicz 2,4 • 2/3 / 2,4 - 4/5



Odpowiedź :

AstraySpirit2308

Obliczenia

[tex]\frac{2,4\cdot\frac{2}{3}}{2,4-\frac{4}{5}}=\frac{2\frac{4}{10}\cdot\frac{2}{3}}{2,4-\frac{8}{10}}=\frac{2\frac{2}{5}\cdot\frac{2}{3}}{2,4-0,8}=\frac{\frac{12}{5}\cdot\frac{2}{3}}{1,6}=\frac{24}{15}:1\frac{6}{10}=\frac{8}{5}:\frac{16}{10}=\frac{8}{5}:\frac{8}{5}=\boxed1\\[/tex]

Basetla

[tex]\frac{2,4\cdot\frac{2}{3}}{2,4-\frac{4}{5}}=\frac{\frac{24}{10}\cdot\frac{2}{3}}{\frac{24}{10}-\frac{4}{5}} = \frac{\frac{12}{5}\cdot\frac{2}{3}}{\frac{12}{5}-\frac{4}{5}} = \frac{24}{15}:\frac{8}{5}=\frac{24}{15}\cdot\frac{5}{8}} = \frac{24}{3\cdot8} = \frac{24}{24} = 1[/tex]

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