Evaluate
\frac{77x}{240}
Differentiate w.r.t. x
\frac{77}{240} = 0.32083333333333336
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\frac{16\times 2x}{240}+\frac{15\times 3x}{240}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 15 and 16 is 240. Multiply \frac{2x}{15} times \frac{16}{16}. Multiply \frac{3x}{16} times \frac{15}{15}.
\frac{16\times 2x+15\times 3x}{240}
Since \frac{16\times 2x}{240} and \frac{15\times 3x}{240} have the same denominator, add them by adding their numerators.
\frac{32x+45x}{240}
Do the multiplications in 16\times 2x+15\times 3x.
\frac{77x}{240}
Combine like terms in 32x+45x.
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
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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}