Question

$$\left. \begin{array} { l } { \quad 5 \frac { 1 } { 5 } \cdot ( 3 \frac { 1 } { 10 } + 4 \frac { 4 } { 15 } + 1 \frac { 29 } { 30 } ) } \\ { 1 \frac { 1 } { 4 } \cdot ( \frac { 3 } { 5 } + 2 \frac { 7 } { 15 } - \frac { 1 } { 2 } ) } \\ { \text { \right.$$

Answer

c*1/3*e*51/5*31/3;11/4*19/10;105/2*41/10*g

Solution


Simplify  \(\frac{129}{30}\)  to  \(\frac{43}{10}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}(\frac{31}{10}+\frac{44}{15}+\frac{43}{10})\\&\frac{11}{4}(\frac{3}{5}+\frac{27}{15}-\frac{1}{2})\\&(\frac{81}{3}+\frac{51}{2})(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(\frac{31}{10}+\frac{44}{15}+\frac{43}{10}\)  to  \(\frac{31}{3}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}(\frac{3}{5}+\frac{27}{15}-\frac{1}{2})\\&(\frac{81}{3}+\frac{51}{2})(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(\frac{27}{15}\)  to  \(\frac{9}{5}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}(\frac{3}{5}+\frac{9}{5}-\frac{1}{2})\\&(\frac{81}{3}+\frac{51}{2})(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(\frac{3}{5}+\frac{9}{5}-\frac{1}{2}\)  to  \(\frac{19}{10}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}\times \frac{19}{10}\\&(\frac{81}{3}+\frac{51}{2})(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(\frac{81}{3}\)  to  \(27\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}\times \frac{19}{10}\\&(27+\frac{51}{2})(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(27+\frac{51}{2}\)  to  \(\frac{105}{2}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}\times \frac{19}{10}\\&\frac{105}{2}(\frac{31}{5}-\frac{21}{10})g\end{aligned}\]
Simplify  \(\frac{31}{5}-\frac{21}{10}\)  to  \(\frac{41}{10}\).
\[\begin{aligned}&c\times \frac{1}{3}e\times \frac{51}{5}\times \frac{31}{3}\\&\frac{11}{4}\times \frac{19}{10}\\&\frac{105}{2}\times \frac{41}{10}g\end{aligned}\]