Evaluate
\frac{5x}{6}-\frac{11}{12}
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\frac{5x}{6}-\frac{11}{12}
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\frac{x-1}{2}+\frac{x-2}{3}-\frac{-1}{4}
Subtract 3 from 2 to get -1.
\frac{x-1}{2}+\frac{x-2}{3}-\left(-\frac{1}{4}\right)
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.
\frac{x-1}{2}+\frac{x-2}{3}+\frac{1}{4}
The opposite of -\frac{1}{4} is \frac{1}{4}.
\frac{3\left(x-1\right)}{6}+\frac{2\left(x-2\right)}{6}+\frac{1}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{x-1}{2} times \frac{3}{3}. Multiply \frac{x-2}{3} times \frac{2}{2}.
\frac{3\left(x-1\right)+2\left(x-2\right)}{6}+\frac{1}{4}
Since \frac{3\left(x-1\right)}{6} and \frac{2\left(x-2\right)}{6} have the same denominator, add them by adding their numerators.
\frac{3x-3+2x-4}{6}+\frac{1}{4}
Do the multiplications in 3\left(x-1\right)+2\left(x-2\right).
\frac{5x-7}{6}+\frac{1}{4}
Combine like terms in 3x-3+2x-4.
\frac{2\left(5x-7\right)}{12}+\frac{3}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 4 is 12. Multiply \frac{5x-7}{6} times \frac{2}{2}. Multiply \frac{1}{4} times \frac{3}{3}.
\frac{2\left(5x-7\right)+3}{12}
Since \frac{2\left(5x-7\right)}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{10x-14+3}{12}
Do the multiplications in 2\left(5x-7\right)+3.
\frac{10x-11}{12}
Combine like terms in 10x-14+3.
\frac{x-1}{2}+\frac{x-2}{3}-\frac{-1}{4}
Subtract 3 from 2 to get -1.
\frac{x-1}{2}+\frac{x-2}{3}-\left(-\frac{1}{4}\right)
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.
\frac{x-1}{2}+\frac{x-2}{3}+\frac{1}{4}
The opposite of -\frac{1}{4} is \frac{1}{4}.
\frac{3\left(x-1\right)}{6}+\frac{2\left(x-2\right)}{6}+\frac{1}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{x-1}{2} times \frac{3}{3}. Multiply \frac{x-2}{3} times \frac{2}{2}.
\frac{3\left(x-1\right)+2\left(x-2\right)}{6}+\frac{1}{4}
Since \frac{3\left(x-1\right)}{6} and \frac{2\left(x-2\right)}{6} have the same denominator, add them by adding their numerators.
\frac{3x-3+2x-4}{6}+\frac{1}{4}
Do the multiplications in 3\left(x-1\right)+2\left(x-2\right).
\frac{5x-7}{6}+\frac{1}{4}
Combine like terms in 3x-3+2x-4.
\frac{2\left(5x-7\right)}{12}+\frac{3}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 4 is 12. Multiply \frac{5x-7}{6} times \frac{2}{2}. Multiply \frac{1}{4} times \frac{3}{3}.
\frac{2\left(5x-7\right)+3}{12}
Since \frac{2\left(5x-7\right)}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{10x-14+3}{12}
Do the multiplications in 2\left(5x-7\right)+3.
\frac{10x-11}{12}
Combine like terms in 10x-14+3.
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}