Evaluate
\frac{197}{10}=19.7
Factor
\frac{197}{2 \cdot 5} = 19\frac{7}{10} = 19.7
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1\times \frac{10+3}{5}+\frac{17\times 10+1}{10}
Multiply 2 and 5 to get 10.
1\times \frac{13}{5}+\frac{17\times 10+1}{10}
Add 10 and 3 to get 13.
\frac{13}{5}+\frac{17\times 10+1}{10}
Multiply 1 and \frac{13}{5} to get \frac{13}{5}.
\frac{13}{5}+\frac{170+1}{10}
Multiply 17 and 10 to get 170.
\frac{13}{5}+\frac{171}{10}
Add 170 and 1 to get 171.
\frac{26}{10}+\frac{171}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{13}{5} and \frac{171}{10} to fractions with denominator 10.
\frac{26+171}{10}
Since \frac{26}{10} and \frac{171}{10} have the same denominator, add them by adding their numerators.
\frac{197}{10}
Add 26 and 171 to get 197.
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y = 3x + 4
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Matrix
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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}