Evaluate
\frac{275}{63}\approx 4.365079365
Factor
\frac{5 ^ {2} \cdot 11}{3 ^ {2} \cdot 7} = 4\frac{23}{63} = 4.365079365079365
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\frac{9+2}{9}\times \frac{3\times 7+4}{7}
Multiply 1 and 9 to get 9.
\frac{11}{9}\times \frac{3\times 7+4}{7}
Add 9 and 2 to get 11.
\frac{11}{9}\times \frac{21+4}{7}
Multiply 3 and 7 to get 21.
\frac{11}{9}\times \frac{25}{7}
Add 21 and 4 to get 25.
\frac{11\times 25}{9\times 7}
Multiply \frac{11}{9} times \frac{25}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{275}{63}
Do the multiplications in the fraction \frac{11\times 25}{9\times 7}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}