Evaluate
\frac{471}{29}\approx 16.24137931
Factor
\frac{3 \cdot 157}{29} = 16\frac{7}{29} = 16.24137931034483
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\frac{750}{145}\times 3.14
Expand \frac{7.5}{1.45} by multiplying both numerator and the denominator by 100.
\frac{150}{29}\times 3.14
Reduce the fraction \frac{750}{145} to lowest terms by extracting and canceling out 5.
\frac{150}{29}\times \frac{157}{50}
Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{150\times 157}{29\times 50}
Multiply \frac{150}{29} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{23550}{1450}
Do the multiplications in the fraction \frac{150\times 157}{29\times 50}.
\frac{471}{29}
Reduce the fraction \frac{23550}{1450} to lowest terms by extracting and canceling out 50.
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}