簡約 (4/5)(15/17)+(-3/5)(8/17)

解

簡約

(\frac{4}{5}) (\frac{15}{17}) + (- \frac{3}{5}) (\frac{8}{17})

\frac{36}{85}

十進法表記

0.42352 \dots

解答ステップ

(\frac{4}{5}) (\frac{15}{17}) + (- \frac{3}{5}) (\frac{8}{17})

(\frac{4}{5}) (\frac{15}{17}) + (- \frac{3}{5}) (\frac{8}{17}) = \frac{4}{5} \cdot \frac{15}{17} - \frac{3}{5} \cdot \frac{8}{17}

= \frac{4}{5} \cdot \frac{15}{17} - \frac{3}{5} \cdot \frac{8}{17}

\frac{4}{5} \cdot \frac{15}{17} = \frac{12}{17}

\frac{3}{5} \cdot \frac{8}{17} = \frac{24}{85}

= \frac{12}{17} - \frac{24}{85}

\frac{12}{17} - \frac{24}{85} = \frac{36}{85}

= \frac{36}{85}