Evaluate
\frac{1197}{53}\approx 22.58490566
Factor
\frac{3 ^ {2} \cdot 7 \cdot 19}{53} = 22\frac{31}{53} = 22.58490566037736
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\frac{31}{53}-\frac{4}{2}+24
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
\frac{31}{53}-2+24
Divide 4 by 2 to get 2.
\frac{31}{53}-\frac{106}{53}+24
Convert 2 to fraction \frac{106}{53}.
\frac{31-106}{53}+24
Since \frac{31}{53} and \frac{106}{53} have the same denominator, subtract them by subtracting their numerators.
-\frac{75}{53}+24
Subtract 106 from 31 to get -75.
-\frac{75}{53}+\frac{1272}{53}
Convert 24 to fraction \frac{1272}{53}.
\frac{-75+1272}{53}
Since -\frac{75}{53} and \frac{1272}{53} have the same denominator, add them by adding their numerators.
\frac{1197}{53}
Add -75 and 1272 to get 1197.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}