Evaluate
\frac{39}{5}=7.8
Factor
\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7.8
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\frac{20+1}{10}+\frac{5\times 10+7}{10}
Multiply 2 and 10 to get 20.
\frac{21}{10}+\frac{5\times 10+7}{10}
Add 20 and 1 to get 21.
\frac{21}{10}+\frac{50+7}{10}
Multiply 5 and 10 to get 50.
\frac{21}{10}+\frac{57}{10}
Add 50 and 7 to get 57.
\frac{21+57}{10}
Since \frac{21}{10} and \frac{57}{10} have the same denominator, add them by adding their numerators.
\frac{78}{10}
Add 21 and 57 to get 78.
\frac{39}{5}
Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.
Examples
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{ 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}