Evaluate
-\frac{33}{20}=-1.65
Factor
-\frac{33}{20} = -1\frac{13}{20} = -1.65
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\frac{3}{4}-\frac{10+2}{5}
Multiply 2 and 5 to get 10.
\frac{3}{4}-\frac{12}{5}
Add 10 and 2 to get 12.
\frac{15}{20}-\frac{48}{20}
Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{12}{5} to fractions with denominator 20.
\frac{15-48}{20}
Since \frac{15}{20} and \frac{48}{20} have the same denominator, subtract them by subtracting their numerators.
-\frac{33}{20}
Subtract 48 from 15 to get -33.
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}