Evaluate
\frac{4c}{3}+\frac{7b}{3}-\frac{a}{4}
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\frac{4c}{3}+\frac{7b}{3}-\frac{a}{4}
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\frac{4+3}{4}a-b+\frac{7}{3}c+\frac{5\times 2+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 1 and 4 to get 4.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{5\times 2+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 4 and 3 to get 7.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{10+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 5 and 2 to get 10.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{11}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 10 and 1 to get 11.
\frac{29}{4}a-b+\frac{7}{3}c+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{7}{4}a and \frac{11}{2}a to get \frac{29}{4}a.
\frac{29}{4}a+\frac{7}{3}c-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine -b and b to get 0.
\frac{29}{4}a+\frac{4}{3}c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{7}{3}c and -c to get \frac{4}{3}c.
\frac{29}{4}a+\frac{4}{3}c-\frac{14+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 7 and 2 to get 14.
\frac{29}{4}a+\frac{4}{3}c-\frac{15}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 14 and 1 to get 15.
-\frac{1}{4}a+\frac{4}{3}c+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{29}{4}a and -\frac{15}{2}a to get -\frac{1}{4}a.
-\frac{1}{4}a+\frac{4}{3}c+\frac{7}{3}b
Combine \frac{7}{2}b and -\frac{7}{6}b to get \frac{7}{3}b.
\frac{4+3}{4}a-b+\frac{7}{3}c+\frac{5\times 2+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 1 and 4 to get 4.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{5\times 2+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 4 and 3 to get 7.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{10+1}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 5 and 2 to get 10.
\frac{7}{4}a-b+\frac{7}{3}c+\frac{11}{2}a+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 10 and 1 to get 11.
\frac{29}{4}a-b+\frac{7}{3}c+b-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{7}{4}a and \frac{11}{2}a to get \frac{29}{4}a.
\frac{29}{4}a+\frac{7}{3}c-c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine -b and b to get 0.
\frac{29}{4}a+\frac{4}{3}c-\frac{7\times 2+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{7}{3}c and -c to get \frac{4}{3}c.
\frac{29}{4}a+\frac{4}{3}c-\frac{14+1}{2}a+\frac{7}{2}b-\frac{7}{6}b
Multiply 7 and 2 to get 14.
\frac{29}{4}a+\frac{4}{3}c-\frac{15}{2}a+\frac{7}{2}b-\frac{7}{6}b
Add 14 and 1 to get 15.
-\frac{1}{4}a+\frac{4}{3}c+\frac{7}{2}b-\frac{7}{6}b
Combine \frac{29}{4}a and -\frac{15}{2}a to get -\frac{1}{4}a.
-\frac{1}{4}a+\frac{4}{3}c+\frac{7}{3}b
Combine \frac{7}{2}b and -\frac{7}{6}b to get \frac{7}{3}b.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}