Evaluate
\frac{225}{16}=14.0625
Factor
\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {4}} = 14\frac{1}{16} = 14.0625
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\frac{1}{16}+5\times 3-1
Reduce the fraction \frac{2}{32} to lowest terms by extracting and canceling out 2.
\frac{1}{16}+15-1
Multiply 5 and 3 to get 15.
\frac{1}{16}+\frac{240}{16}-1
Convert 15 to fraction \frac{240}{16}.
\frac{1+240}{16}-1
Since \frac{1}{16} and \frac{240}{16} have the same denominator, add them by adding their numerators.
\frac{241}{16}-1
Add 1 and 240 to get 241.
\frac{241}{16}-\frac{16}{16}
Convert 1 to fraction \frac{16}{16}.
\frac{241-16}{16}
Since \frac{241}{16} and \frac{16}{16} have the same denominator, subtract them by subtracting their numerators.
\frac{225}{16}
Subtract 16 from 241 to get 225.
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}