Solve for I
I = \frac{250}{3} = 83\frac{1}{3} \approx 83.333333333
Assign I
I≔\frac{250}{3}
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I=100\left(1.2\times \frac{400}{24^{2}}-0\times 2\right)
Calculate 20 to the power of 2 and get 400.
I=100\left(1.2\times \frac{400}{576}-0\times 2\right)
Calculate 24 to the power of 2 and get 576.
I=100\left(1.2\times \frac{25}{36}-0\times 2\right)
Reduce the fraction \frac{400}{576} to lowest terms by extracting and canceling out 16.
I=100\left(\frac{6}{5}\times \frac{25}{36}-0\times 2\right)
Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.
I=100\left(\frac{6\times 25}{5\times 36}-0\times 2\right)
Multiply \frac{6}{5} times \frac{25}{36} by multiplying numerator times numerator and denominator times denominator.
I=100\left(\frac{150}{180}-0\times 2\right)
Do the multiplications in the fraction \frac{6\times 25}{5\times 36}.
I=100\left(\frac{5}{6}-0\times 2\right)
Reduce the fraction \frac{150}{180} to lowest terms by extracting and canceling out 30.
I=100\left(\frac{5}{6}-0\right)
Multiply 0 and 2 to get 0.
I=100\times \frac{5}{6}
Subtract 0 from \frac{5}{6} to get \frac{5}{6}.
I=\frac{100\times 5}{6}
Express 100\times \frac{5}{6} as a single fraction.
I=\frac{500}{6}
Multiply 100 and 5 to get 500.
I=\frac{250}{3}
Reduce the fraction \frac{500}{6} to lowest terms by extracting and canceling out 2.
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}