Evaluate
\frac{17x}{8}-\frac{9}{56}
Expand
\frac{17x}{8}-\frac{9}{56}
Graph
Share
Copied to clipboard
\frac{8\left(7x+5\right)}{56}+\frac{7\left(9x-7\right)}{56}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7 and 8 is 56. Multiply \frac{7x+5}{7} times \frac{8}{8}. Multiply \frac{9x-7}{8} times \frac{7}{7}.
\frac{8\left(7x+5\right)+7\left(9x-7\right)}{56}
Since \frac{8\left(7x+5\right)}{56} and \frac{7\left(9x-7\right)}{56} have the same denominator, add them by adding their numerators.
\frac{56x+40+63x-49}{56}
Do the multiplications in 8\left(7x+5\right)+7\left(9x-7\right).
\frac{119x-9}{56}
Combine like terms in 56x+40+63x-49.
\frac{8\left(7x+5\right)}{56}+\frac{7\left(9x-7\right)}{56}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7 and 8 is 56. Multiply \frac{7x+5}{7} times \frac{8}{8}. Multiply \frac{9x-7}{8} times \frac{7}{7}.
\frac{8\left(7x+5\right)+7\left(9x-7\right)}{56}
Since \frac{8\left(7x+5\right)}{56} and \frac{7\left(9x-7\right)}{56} have the same denominator, add them by adding their numerators.
\frac{56x+40+63x-49}{56}
Do the multiplications in 8\left(7x+5\right)+7\left(9x-7\right).
\frac{119x-9}{56}
Combine like terms in 56x+40+63x-49.
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}