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Arithmetic
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\frac { 72 } { 10 } \div \frac { 9 } { 10 } = \frac { 8 } { 10 }
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\frac{72\times 10}{10\times 9}=\frac{8}{10}
Divide \frac{72}{10} by \frac{9}{10} by multiplying \frac{72}{10} by the reciprocal of \frac{9}{10}.
2\times 4=\frac{8}{10}
Cancel out 2\times 5\times 9 in both numerator and denominator.
8=\frac{8}{10}
Multiply 2 and 4 to get 8.
8=\frac{4}{5}
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{40}{5}=\frac{4}{5}
Convert 8 to fraction \frac{40}{5}.
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Compare \frac{40}{5} and \frac{4}{5}.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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}