Evaluate
\frac{45}{8}=5.625
Factor
\frac{3 ^ {2} \cdot 5}{2 ^ {3}} = 5\frac{5}{8} = 5.625
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\frac{9\times \frac{8+7}{8}}{3}
Multiply 1 and 8 to get 8.
\frac{9\times \frac{15}{8}}{3}
Add 8 and 7 to get 15.
\frac{\frac{9\times 15}{8}}{3}
Express 9\times \frac{15}{8} as a single fraction.
\frac{\frac{135}{8}}{3}
Multiply 9 and 15 to get 135.
\frac{135}{8\times 3}
Express \frac{\frac{135}{8}}{3} as a single fraction.
\frac{135}{24}
Multiply 8 and 3 to get 24.
\frac{45}{8}
Reduce the fraction \frac{135}{24} to lowest terms by extracting and canceling out 3.
Examples
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{ 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}