Evaluate
\frac{4g}{5}-\frac{2h}{3}
Factor
\frac{2\left(6g-5h\right)}{15}
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\frac{3\times 4g}{15}-\frac{5\times 2h}{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{4g}{5} times \frac{3}{3}. Multiply \frac{2h}{3} times \frac{5}{5}.
\frac{3\times 4g-5\times 2h}{15}
Since \frac{3\times 4g}{15} and \frac{5\times 2h}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{12g-10h}{15}
Do the multiplications in 3\times 4g-5\times 2h.
\frac{2\left(6g-5h\right)}{15}
Factor out \frac{2}{15}.
Examples
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y = 3x + 4
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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
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Limits
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