Evaluate
\frac{525}{8}=65.625
Factor
\frac{3 \cdot 5 ^ {2} \cdot 7}{2 ^ {3}} = 65\frac{5}{8} = 65.625
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60+\frac{9\times 20}{32}
Express \frac{9}{32}\times 20 as a single fraction.
60+\frac{180}{32}
Multiply 9 and 20 to get 180.
60+\frac{45}{8}
Reduce the fraction \frac{180}{32} to lowest terms by extracting and canceling out 4.
\frac{480}{8}+\frac{45}{8}
Convert 60 to fraction \frac{480}{8}.
\frac{480+45}{8}
Since \frac{480}{8} and \frac{45}{8} have the same denominator, add them by adding their numerators.
\frac{525}{8}
Add 480 and 45 to get 525.
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}