Evaluate
\frac{405}{56}\approx 7.232142857
Factor
\frac{3 ^ {4} \cdot 5}{2 ^ {3} \cdot 7} = 7\frac{13}{56} = 7.232142857142857
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135\times \frac{\frac{5}{56}}{5}\times 3
Multiply 45 and 3 to get 135.
135\times \frac{5}{56\times 5}\times 3
Express \frac{\frac{5}{56}}{5} as a single fraction.
135\times \frac{1}{56}\times 3
Cancel out 5 in both numerator and denominator.
\frac{135}{56}\times 3
Multiply 135 and \frac{1}{56} to get \frac{135}{56}.
\frac{135\times 3}{56}
Express \frac{135}{56}\times 3 as a single fraction.
\frac{405}{56}
Multiply 135 and 3 to get 405.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}