Evaluate
\frac{209x}{309}-\frac{1651}{1236}
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\frac{209x}{309}-\frac{1651}{1236}
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\frac{3\left(4x-1\right)}{1236}+\frac{412\left(2x-4\right)}{1236}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 412 and 3 is 1236. Multiply \frac{4x-1}{412} times \frac{3}{3}. Multiply \frac{2x-4}{3} times \frac{412}{412}.
\frac{3\left(4x-1\right)+412\left(2x-4\right)}{1236}
Since \frac{3\left(4x-1\right)}{1236} and \frac{412\left(2x-4\right)}{1236} have the same denominator, add them by adding their numerators.
\frac{12x-3+824x-1648}{1236}
Do the multiplications in 3\left(4x-1\right)+412\left(2x-4\right).
\frac{836x-1651}{1236}
Combine like terms in 12x-3+824x-1648.
\frac{3\left(4x-1\right)}{1236}+\frac{412\left(2x-4\right)}{1236}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 412 and 3 is 1236. Multiply \frac{4x-1}{412} times \frac{3}{3}. Multiply \frac{2x-4}{3} times \frac{412}{412}.
\frac{3\left(4x-1\right)+412\left(2x-4\right)}{1236}
Since \frac{3\left(4x-1\right)}{1236} and \frac{412\left(2x-4\right)}{1236} have the same denominator, add them by adding their numerators.
\frac{12x-3+824x-1648}{1236}
Do the multiplications in 3\left(4x-1\right)+412\left(2x-4\right).
\frac{836x-1651}{1236}
Combine like terms in 12x-3+824x-1648.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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Matrix
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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}