Evaluate
\frac{10}{7}\approx 1.428571429
Factor
\frac{2 \cdot 5}{7} = 1\frac{3}{7} = 1.4285714285714286
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\frac{1\times 7+5}{7\times 1.2}
Express \frac{\frac{1\times 7+5}{7}}{1.2} as a single fraction.
\frac{7+5}{7\times 1.2}
Multiply 1 and 7 to get 7.
\frac{12}{7\times 1.2}
Add 7 and 5 to get 12.
\frac{12}{8.4}
Multiply 7 and 1.2 to get 8.4.
\frac{120}{84}
Expand \frac{12}{8.4} by multiplying both numerator and the denominator by 10.
\frac{10}{7}
Reduce the fraction \frac{120}{84} to lowest terms by extracting and canceling out 12.
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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}