\frac{ 5 \cdot 95+4 \cdot 91+4 \cdot 90+5 \cdot 93+2 \cdot 95+93+2 \cdot 87+3 \cdot 91+4 \cdot 90+2 \cdot 95+4 \cdot 95+92+2 \cdot 86+93+3 \cdot 81+3 \cdot 99+4 \cdot 94+4 \cdot 90+2 \cdot 95+4 \cdot 93+95+98+3 \cdot 92+2 \cdot 85+90+3 \cdot 90+3 \cdot 88+5 \cdot 83+4 \cdot 92+90+95+94+2 \cdot 92+86 }{ 5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6 }
Evaluate
\frac{8114}{89}\approx 91.168539326
Factor
\frac{2 \cdot 4057}{89} = 91\frac{15}{89} = 91.1685393258427
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\frac{475+364+360+465+190+93+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Multiply 5 and 95 to get 475. Multiply 4 and 91 to get 364. Multiply 4 and 90 to get 360. Multiply 5 and 93 to get 465. Multiply 2 and 95 to get 190. Multiply 2 and 87 to get 174. Multiply 3 and 91 to get 273. Multiply 4 and 90 to get 360. Multiply 2 and 95 to get 190. Multiply 4 and 95 to get 380. Multiply 2 and 86 to get 172. Multiply 3 and 81 to get 243. Multiply 3 and 99 to get 297. Multiply 4 and 94 to get 376. Multiply 4 and 90 to get 360. Multiply 2 and 95 to get 190. Multiply 4 and 93 to get 372. Multiply 3 and 92 to get 276. Multiply 2 and 85 to get 170. Multiply 3 and 90 to get 270. Multiply 3 and 88 to get 264. Multiply 5 and 83 to get 415. Multiply 4 and 92 to get 368. Multiply 2 and 92 to get 184.
\frac{839+360+465+190+93+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 475 and 364 to get 839.
\frac{1199+465+190+93+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 839 and 360 to get 1199.
\frac{1664+190+93+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 1199 and 465 to get 1664.
\frac{1854+93+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 1664 and 190 to get 1854.
\frac{1947+174+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 1854 and 93 to get 1947.
\frac{2121+273+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 1947 and 174 to get 2121.
\frac{2394+360+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 2121 and 273 to get 2394.
\frac{2754+190+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 2394 and 360 to get 2754.
\frac{2944+380+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 2754 and 190 to get 2944.
\frac{3324+92+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 2944 and 380 to get 3324.
\frac{3416+172+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 3324 and 92 to get 3416.
\frac{3588+93+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 3416 and 172 to get 3588.
\frac{3681+243+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 3588 and 93 to get 3681.
\frac{3924+297+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 3681 and 243 to get 3924.
\frac{4221+376+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 3924 and 297 to get 4221.
\frac{4597+360+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 4221 and 376 to get 4597.
\frac{4957+190+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 4597 and 360 to get 4957.
\frac{5147+372+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 4957 and 190 to get 5147.
\frac{5519+95+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5147 and 372 to get 5519.
\frac{5614+98+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5519 and 95 to get 5614.
\frac{5712+276+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5614 and 98 to get 5712.
\frac{5988+170+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5712 and 276 to get 5988.
\frac{6158+90+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5988 and 170 to get 6158.
\frac{6248+270+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 6158 and 90 to get 6248.
\frac{6518+264+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 6248 and 270 to get 6518.
\frac{6782+415+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 6518 and 264 to get 6782.
\frac{7197+368+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 6782 and 415 to get 7197.
\frac{7565+90+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 7197 and 368 to get 7565.
\frac{7655+95+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 7565 and 90 to get 7655.
\frac{7750+94+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 7655 and 95 to get 7750.
\frac{7844+184+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 7750 and 94 to get 7844.
\frac{8028+86}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 7844 and 184 to get 8028.
\frac{8114}{5+4+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 8028 and 86 to get 8114.
\frac{8114}{9+4+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 5 and 4 to get 9.
\frac{8114}{13+5+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 9 and 4 to get 13.
\frac{8114}{18+2+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 13 and 5 to get 18.
\frac{8114}{20+1+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 18 and 2 to get 20.
\frac{8114}{21+2+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 20 and 1 to get 21.
\frac{8114}{23+3+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 21 and 2 to get 23.
\frac{8114}{26+4+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 23 and 3 to get 26.
\frac{8114}{30+2+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 26 and 4 to get 30.
\frac{8114}{32+4+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 30 and 2 to get 32.
\frac{8114}{36+1+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 32 and 4 to get 36.
\frac{8114}{37+2+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 36 and 1 to get 37.
\frac{8114}{39+1+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 37 and 2 to get 39.
\frac{8114}{40+3+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 39 and 1 to get 40.
\frac{8114}{43+3+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 40 and 3 to get 43.
\frac{8114}{46+4+4+2+4+2+3+2+1+3+3+5+4+6}
Add 43 and 3 to get 46.
\frac{8114}{50+4+2+4+2+3+2+1+3+3+5+4+6}
Add 46 and 4 to get 50.
\frac{8114}{54+2+4+2+3+2+1+3+3+5+4+6}
Add 50 and 4 to get 54.
\frac{8114}{56+4+2+3+2+1+3+3+5+4+6}
Add 54 and 2 to get 56.
\frac{8114}{60+2+3+2+1+3+3+5+4+6}
Add 56 and 4 to get 60.
\frac{8114}{62+3+2+1+3+3+5+4+6}
Add 60 and 2 to get 62.
\frac{8114}{65+2+1+3+3+5+4+6}
Add 62 and 3 to get 65.
\frac{8114}{67+1+3+3+5+4+6}
Add 65 and 2 to get 67.
\frac{8114}{68+3+3+5+4+6}
Add 67 and 1 to get 68.
\frac{8114}{71+3+5+4+6}
Add 68 and 3 to get 71.
\frac{8114}{74+5+4+6}
Add 71 and 3 to get 74.
\frac{8114}{79+4+6}
Add 74 and 5 to get 79.
\frac{8114}{83+6}
Add 79 and 4 to get 83.
\frac{8114}{89}
Add 83 and 6 to get 89.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}