簡約 (3173/126)^2(1/((47)^2)+1/((79)^2)1.9)

解

簡約

(\frac{3173}{126})^{2} \cdot (\frac{1}{( 47 ) ^{2}} + \frac{1}{( 79 ) ^{2}} \cdot 1.9)

\frac{1050900496949}{2188723942440}

十進法表記

0.48014 \dots

解答ステップ

(\frac{3173}{126})^{2} (\frac{1}{4 7 ^{2}} + \frac{1}{7 9 ^{2}} \cdot 1.9)

(\frac{3173}{126})^{2} = \frac{10067929}{15876}

= \frac{10067929}{15876} (\frac{1}{4 7 ^{2}} + \frac{1}{7 9 ^{2}} \cdot 1.9)

\frac{1}{4 7 ^{2}} = \frac{1}{2209}

\frac{1}{7 9 ^{2}} \cdot 1.9 = \frac{19}{62410}

= \frac{10067929}{15876} (\frac{1}{2209} + \frac{19}{62410})

\frac{1}{2209} + \frac{19}{62410} = \frac{104381}{137863690}

= \frac{10067929}{15876} \cdot \frac{104381}{137863690}

\frac{10067929}{15876} \cdot \frac{104381}{137863690} = \frac{1050900496949}{2188723942440}

= \frac{1050900496949}{2188723942440}