Evaluate
-\frac{459}{16}=-28.6875
Factor
-\frac{459}{16} = -28\frac{11}{16} = -28.6875
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\left(\frac{3}{4}\times \frac{5}{6}-7\right)\times \frac{9}{2}
Divide \frac{3}{4} by \frac{6}{5} by multiplying \frac{3}{4} by the reciprocal of \frac{6}{5}.
\left(\frac{3\times 5}{4\times 6}-7\right)\times \frac{9}{2}
Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\left(\frac{15}{24}-7\right)\times \frac{9}{2}
Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.
\left(\frac{5}{8}-7\right)\times \frac{9}{2}
Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.
\left(\frac{5}{8}-\frac{56}{8}\right)\times \frac{9}{2}
Convert 7 to fraction \frac{56}{8}.
\frac{5-56}{8}\times \frac{9}{2}
Since \frac{5}{8} and \frac{56}{8} have the same denominator, subtract them by subtracting their numerators.
-\frac{51}{8}\times \frac{9}{2}
Subtract 56 from 5 to get -51.
\frac{-51\times 9}{8\times 2}
Multiply -\frac{51}{8} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-459}{16}
Do the multiplications in the fraction \frac{-51\times 9}{8\times 2}.
-\frac{459}{16}
Fraction \frac{-459}{16} can be rewritten as -\frac{459}{16} by extracting the negative sign.
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}