Evaluate
\frac{3}{8}+\frac{1}{8d}
Expand
\frac{3}{8}+\frac{1}{8d}
Share
Copied to clipboard
\frac{\frac{c}{d}+\frac{3cd}{d}}{8c}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3c times \frac{d}{d}.
\frac{\frac{c+3cd}{d}}{8c}
Since \frac{c}{d} and \frac{3cd}{d} have the same denominator, add them by adding their numerators.
\frac{c+3cd}{d\times 8c}
Express \frac{\frac{c+3cd}{d}}{8c} as a single fraction.
\frac{c\left(3d+1\right)}{8cd}
Factor the expressions that are not already factored.
\frac{3d+1}{8d}
Cancel out c in both numerator and denominator.
\frac{\frac{c}{d}+\frac{3cd}{d}}{8c}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3c times \frac{d}{d}.
\frac{\frac{c+3cd}{d}}{8c}
Since \frac{c}{d} and \frac{3cd}{d} have the same denominator, add them by adding their numerators.
\frac{c+3cd}{d\times 8c}
Express \frac{\frac{c+3cd}{d}}{8c} as a single fraction.
\frac{c\left(3d+1\right)}{8cd}
Factor the expressions that are not already factored.
\frac{3d+1}{8d}
Cancel out c in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}