45 \% z=72
Solve for z
z=160
Share
Copied to clipboard
\frac{9}{20}z=72
Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.
z=72\times \frac{20}{9}
Multiply both sides by \frac{20}{9}, the reciprocal of \frac{9}{20}.
z=\frac{72\times 20}{9}
Express 72\times \frac{20}{9} as a single fraction.
z=\frac{1440}{9}
Multiply 72 and 20 to get 1440.
z=160
Divide 1440 by 9 to get 160.
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}