Evaluate
\frac{t}{5}-\frac{2}{3}
Factor
\frac{3t-10}{15}
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\frac{3t}{15}-\frac{2\times 5}{15}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply \frac{t}{5} times \frac{3}{3}. Multiply \frac{2}{3} times \frac{5}{5}.
\frac{3t-2\times 5}{15}
Since \frac{3t}{15} and \frac{2\times 5}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{3t-10}{15}
Do the multiplications in 3t-2\times 5.
\frac{3t-10}{15}
Factor out \frac{1}{15}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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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