Evaluate
\frac{13}{2}=6.5
Factor
\frac{13}{2} = 6\frac{1}{2} = 6.5
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\frac{3+2}{3}\times \frac{3\times 10+9}{10}
Multiply 1 and 3 to get 3.
\frac{5}{3}\times \frac{3\times 10+9}{10}
Add 3 and 2 to get 5.
\frac{5}{3}\times \frac{30+9}{10}
Multiply 3 and 10 to get 30.
\frac{5}{3}\times \frac{39}{10}
Add 30 and 9 to get 39.
\frac{5\times 39}{3\times 10}
Multiply \frac{5}{3} times \frac{39}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{195}{30}
Do the multiplications in the fraction \frac{5\times 39}{3\times 10}.
\frac{13}{2}
Reduce the fraction \frac{195}{30} to lowest terms by extracting and canceling out 15.
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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 ) }
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}