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\frac{5x}{84}
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\frac{5x}{84}
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\frac{x\left(-\frac{3}{12}-\frac{2}{12}\right)}{-\frac{21}{3}}
Least common multiple of 4 and 6 is 12. Convert -\frac{1}{4} and \frac{1}{6} to fractions with denominator 12.
\frac{x\times \frac{-3-2}{12}}{-\frac{21}{3}}
Since -\frac{3}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{x\left(-\frac{5}{12}\right)}{-\frac{21}{3}}
Subtract 2 from -3 to get -5.
\frac{x\left(-\frac{5}{12}\right)}{-7}
Divide 21 by 3 to get 7.
x\times \frac{5}{84}
Divide x\left(-\frac{5}{12}\right) by -7 to get x\times \frac{5}{84}.
\frac{x\left(-\frac{3}{12}-\frac{2}{12}\right)}{-\frac{21}{3}}
Least common multiple of 4 and 6 is 12. Convert -\frac{1}{4} and \frac{1}{6} to fractions with denominator 12.
\frac{x\times \frac{-3-2}{12}}{-\frac{21}{3}}
Since -\frac{3}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{x\left(-\frac{5}{12}\right)}{-\frac{21}{3}}
Subtract 2 from -3 to get -5.
\frac{x\left(-\frac{5}{12}\right)}{-7}
Divide 21 by 3 to get 7.
x\times \frac{5}{84}
Divide x\left(-\frac{5}{12}\right) by -7 to get x\times \frac{5}{84}.
Examples
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{ 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}