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\frac{3-x}{4}
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\frac{3-x}{4}
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\frac{3}{4}-x\left(\frac{4}{8}-\frac{5}{8}\right)-\frac{3}{8}x
Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{5}{8} to fractions with denominator 8.
\frac{3}{4}-x\times \frac{4-5}{8}-\frac{3}{8}x
Since \frac{4}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}-x\left(-\frac{1}{8}\right)-\frac{3}{8}x
Subtract 5 from 4 to get -1.
\frac{3}{4}+\frac{1}{8}x-\frac{3}{8}x
Multiply -1 and -\frac{1}{8} to get \frac{1}{8}.
\frac{3}{4}-\frac{1}{4}x
Combine \frac{1}{8}x and -\frac{3}{8}x to get -\frac{1}{4}x.
\frac{3}{4}-x\left(\frac{4}{8}-\frac{5}{8}\right)-\frac{3}{8}x
Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{5}{8} to fractions with denominator 8.
\frac{3}{4}-x\times \frac{4-5}{8}-\frac{3}{8}x
Since \frac{4}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}-x\left(-\frac{1}{8}\right)-\frac{3}{8}x
Subtract 5 from 4 to get -1.
\frac{3}{4}+\frac{1}{8}x-\frac{3}{8}x
Multiply -1 and -\frac{1}{8} to get \frac{1}{8}.
\frac{3}{4}-\frac{1}{4}x
Combine \frac{1}{8}x and -\frac{3}{8}x to get -\frac{1}{4}x.
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}