Evaluate
\frac{11337537}{1195}\approx 9487.478661088
Factor
\frac{3 \cdot 31 \cdot 121909}{5 \cdot 239} = 9487\frac{572}{1195} = 9487.478661087865
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\frac{219}{4}\times 44+34+32\times 9+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Reduce the fraction \frac{657}{12} to lowest terms by extracting and canceling out 3.
\frac{219\times 44}{4}+34+32\times 9+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Express \frac{219}{4}\times 44 as a single fraction.
\frac{9636}{4}+34+32\times 9+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Multiply 219 and 44 to get 9636.
2409+34+32\times 9+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Divide 9636 by 4 to get 2409.
2443+32\times 9+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Add 2409 and 34 to get 2443.
2443+288+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Multiply 32 and 9 to get 288.
2731+\frac{298.6\times 3.78}{4.78}\times 28+144.8
Add 2443 and 288 to get 2731.
2731+\frac{1128.708}{4.78}\times 28+144.8
Multiply 298.6 and 3.78 to get 1128.708.
2731+\frac{1128708}{4780}\times 28+144.8
Expand \frac{1128.708}{4.78} by multiplying both numerator and the denominator by 1000.
2731+\frac{282177}{1195}\times 28+144.8
Reduce the fraction \frac{1128708}{4780} to lowest terms by extracting and canceling out 4.
2731+\frac{282177\times 28}{1195}+144.8
Express \frac{282177}{1195}\times 28 as a single fraction.
2731+\frac{7900956}{1195}+144.8
Multiply 282177 and 28 to get 7900956.
\frac{3263545}{1195}+\frac{7900956}{1195}+144.8
Convert 2731 to fraction \frac{3263545}{1195}.
\frac{3263545+7900956}{1195}+144.8
Since \frac{3263545}{1195} and \frac{7900956}{1195} have the same denominator, add them by adding their numerators.
\frac{11164501}{1195}+144.8
Add 3263545 and 7900956 to get 11164501.
\frac{11164501}{1195}+\frac{724}{5}
Convert decimal number 144.8 to fraction \frac{1448}{10}. Reduce the fraction \frac{1448}{10} to lowest terms by extracting and canceling out 2.
\frac{11164501}{1195}+\frac{173036}{1195}
Least common multiple of 1195 and 5 is 1195. Convert \frac{11164501}{1195} and \frac{724}{5} to fractions with denominator 1195.
\frac{11164501+173036}{1195}
Since \frac{11164501}{1195} and \frac{173036}{1195} have the same denominator, add them by adding their numerators.
\frac{11337537}{1195}
Add 11164501 and 173036 to get 11337537.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}