Evaluate
-\frac{37}{30}\approx -1.233333333
Factor
-\frac{37}{30} = -1\frac{7}{30} = -1.2333333333333334
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\frac{100}{-75}+\frac{1}{10}
Expand \frac{1}{-0.75} by multiplying both numerator and the denominator by 100.
-\frac{4}{3}+\frac{1}{10}
Reduce the fraction \frac{100}{-75} to lowest terms by extracting and canceling out 25.
-\frac{40}{30}+\frac{3}{30}
Least common multiple of 3 and 10 is 30. Convert -\frac{4}{3} and \frac{1}{10} to fractions with denominator 30.
\frac{-40+3}{30}
Since -\frac{40}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.
-\frac{37}{30}
Add -40 and 3 to get -37.
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}