Evaluate
\frac{471x}{20}
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\frac{471x}{20}
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\frac{14+1}{2}x\times \frac{314}{100}
Multiply 7 and 2 to get 14.
\frac{15}{2}x\times \frac{314}{100}
Add 14 and 1 to get 15.
\frac{15}{2}x\times \frac{157}{50}
Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{15\times 157}{2\times 50}x
Multiply \frac{15}{2} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{2355}{100}x
Do the multiplications in the fraction \frac{15\times 157}{2\times 50}.
\frac{471}{20}x
Reduce the fraction \frac{2355}{100} to lowest terms by extracting and canceling out 5.
\frac{14+1}{2}x\times \frac{314}{100}
Multiply 7 and 2 to get 14.
\frac{15}{2}x\times \frac{314}{100}
Add 14 and 1 to get 15.
\frac{15}{2}x\times \frac{157}{50}
Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{15\times 157}{2\times 50}x
Multiply \frac{15}{2} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{2355}{100}x
Do the multiplications in the fraction \frac{15\times 157}{2\times 50}.
\frac{471}{20}x
Reduce the fraction \frac{2355}{100} to lowest terms by extracting and canceling out 5.
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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}