( 50 \% \cdot x \cdot 6.21 \% \cdot 6 ) + x = 1.8
Solve for x
x = \frac{18000}{11863} = 1\frac{6137}{11863} \approx 1.517322768
Graph
Share
Copied to clipboard
\frac{1}{2}x\times \frac{6.21}{100}\times 6+x=1.8
Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.
\frac{1}{2}x\times \frac{621}{10000}\times 6+x=1.8
Expand \frac{6.21}{100} by multiplying both numerator and the denominator by 100.
\frac{1\times 621}{2\times 10000}x\times 6+x=1.8
Multiply \frac{1}{2} times \frac{621}{10000} by multiplying numerator times numerator and denominator times denominator.
\frac{621}{20000}x\times 6+x=1.8
Do the multiplications in the fraction \frac{1\times 621}{2\times 10000}.
\frac{621\times 6}{20000}x+x=1.8
Express \frac{621}{20000}\times 6 as a single fraction.
\frac{3726}{20000}x+x=1.8
Multiply 621 and 6 to get 3726.
\frac{1863}{10000}x+x=1.8
Reduce the fraction \frac{3726}{20000} to lowest terms by extracting and canceling out 2.
\frac{11863}{10000}x=1.8
Combine \frac{1863}{10000}x and x to get \frac{11863}{10000}x.
x=1.8\times \frac{10000}{11863}
Multiply both sides by \frac{10000}{11863}, the reciprocal of \frac{11863}{10000}.
x=\frac{9}{5}\times \frac{10000}{11863}
Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.
x=\frac{9\times 10000}{5\times 11863}
Multiply \frac{9}{5} times \frac{10000}{11863} by multiplying numerator times numerator and denominator times denominator.
x=\frac{90000}{59315}
Do the multiplications in the fraction \frac{9\times 10000}{5\times 11863}.
x=\frac{18000}{11863}
Reduce the fraction \frac{90000}{59315} to lowest terms by extracting and canceling out 5.
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}