Question

$$5764-80256:192+219618:249; 73689:87-96064:158+310726; 400000-408\cdot309+340\cdot750; (428240:505):(2948-58\cdot49); (1074+18330:705):100\cdot39; (13250:13250+13250:1-1\cdot1)$$

Answer

5764-418+219618/249;73689/87-608+310726;400000-126072+340*750;848/106;1100/100*39;13250/13250+13250-1

Solution


Simplify  \(\frac{428240}{505}\)  to  \(848\).
\[\begin{aligned}&5764-\frac{80256}{192}+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{2948-58\times 49}\\&\frac{1074+\frac{18330}{705}}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(58\times 49\)  to  \(2842\).
\[\begin{aligned}&5764-\frac{80256}{192}+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{2948-2842}\\&\frac{1074+\frac{18330}{705}}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(2948-2842\)  to  \(106\).
\[\begin{aligned}&5764-\frac{80256}{192}+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{106}\\&\frac{1074+\frac{18330}{705}}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(\frac{18330}{705}\)  to  \(26\).
\[\begin{aligned}&5764-\frac{80256}{192}+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{106}\\&\frac{1074+26}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(1074+26\)  to  \(1100\).
\[\begin{aligned}&5764-\frac{80256}{192}+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(\frac{80256}{192}\)  to  \(418\).
\[\begin{aligned}&5764-418+\frac{219618}{249}\\&\frac{73689}{87}-\frac{96064}{158}+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(\frac{96064}{158}\)  to  \(608\).
\[\begin{aligned}&5764-418+\frac{219618}{249}\\&\frac{73689}{87}-608+310726\\&400000-408\times 309+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(408\times 309\)  to  \(126072\).
\[\begin{aligned}&5764-418+\frac{219618}{249}\\&\frac{73689}{87}-608+310726\\&400000-126072+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+\frac{13250}{1}-1\times 1\end{aligned}\]
Simplify  \(\frac{13250}{1}\)  to  \(13250\).
\[\begin{aligned}&5764-418+\frac{219618}{249}\\&\frac{73689}{87}-608+310726\\&400000-126072+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+13250-1\times 1\end{aligned}\]
Simplify  \(1\times 1\)  to  \(1\).
\[\begin{aligned}&5764-418+\frac{219618}{249}\\&\frac{73689}{87}-608+310726\\&400000-126072+340\times 750\\&\frac{848}{106}\\&\frac{1100}{100}\times 39\\&\frac{13250}{13250}+13250-1\end{aligned}\]