Evaluate
12
Factor
2^{2}\times 3
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126\left(\frac{9}{21}-\frac{7}{21}\right)
Least common multiple of 7 and 3 is 21. Convert \frac{3}{7} and \frac{1}{3} to fractions with denominator 21.
126\times \frac{9-7}{21}
Since \frac{9}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.
126\times \frac{2}{21}
Subtract 7 from 9 to get 2.
\frac{126\times 2}{21}
Express 126\times \frac{2}{21} as a single fraction.
\frac{252}{21}
Multiply 126 and 2 to get 252.
12
Divide 252 by 21 to get 12.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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
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Limits
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