簡約 1/4 (3/8+2*(0.3(sqrt(1/4 (2/16)))))

解

簡約

\frac{1}{4} (\frac{3}{8} + 2 \cdot (0.3 (\frac{1}{4} (\frac{2}{16}))))

\frac{3}{32} + \frac{3}{80 2}

十進法表記

0.12026 \dots

解答ステップ

\frac{1}{4} (\frac{3}{8} + 2 (0.3 (\frac{1}{4} (\frac{2}{16}))))

2 (0.3 (\frac{1}{4} (\frac{2}{16}))) = 2 (0.3 \frac{1}{4} \cdot \frac{2}{16})

= \frac{1}{4} (\frac{3}{8} + 2 \cdot 0.3 \frac{1}{4} \cdot \frac{2}{16})

\frac{3}{8} + 2 \cdot 0.3 \frac{1}{4} \cdot \frac{2}{16} = \frac{3}{8} + \frac{3}{20 2}

= \frac{1}{4} (\frac{3}{8} + \frac{3}{20 2})

拡張

\frac{1}{4} (\frac{3}{8} + \frac{3}{20 2}) : \frac{3}{32} + \frac{3}{80 2}

= \frac{3}{32} + \frac{3}{80 2}