簡約 (11.7)/(1/2 (4.6)^2)*4.6

解

簡約

\frac{11.7}{\frac{1}{2} ( 4.6 ) ^{2}} \cdot 4.6

\frac{117}{23}

十進法表記

5.08695 \dots

解答ステップ

\frac{11.7}{\frac{1}{2} \cdot 4. 6 ^{2}} \cdot 4.6

\frac{11.7}{\frac{1}{2} \cdot 4. 6 ^{2}} = \frac{117}{10 \cdot \frac{1}{2} \cdot 4. 6 ^{2}}

= \frac{117}{10 \cdot \frac{1}{2} \cdot 4. 6 ^{2}} \cdot 4.6

= 4.6 \cdot \frac{117}{10 \cdot \frac{1}{2} \cdot 4. 6 ^{2}}

10 \cdot \frac{1}{2} \cdot 4. 6^{2} = \frac{529}{5}

= 4.6 \cdot \frac{117}{\frac{529}{5}}

分数の規則を適用する:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

\frac{117}{\frac{529}{5}} = \frac{117 \cdot 5}{529}

= 4.6 \cdot \frac{117 \cdot 5}{529}

4.6 = \frac{23}{5}

= \frac{23}{5} \cdot \frac{117 \cdot 5}{529}

\frac{23}{5} \cdot \frac{117 \cdot 5}{529} = \frac{117}{23}

= \frac{117}{23}