Evaluate
\frac{31}{15}\approx 2.066666667
Factor
\frac{31}{3 \cdot 5} = 2\frac{1}{15} = 2.066666666666667
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\frac{2}{3}\times \frac{31}{10}
Convert decimal number 3.1 to fraction \frac{31}{10}.
\frac{2\times 31}{3\times 10}
Multiply \frac{2}{3} times \frac{31}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{62}{30}
Do the multiplications in the fraction \frac{2\times 31}{3\times 10}.
\frac{31}{15}
Reduce the fraction \frac{62}{30} to lowest terms by extracting and canceling out 2.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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