I = \frac { - 0,8 - 0,2 } { 0,2 \cdot 0,8 \cdot 1,6 + 0,5 \cdot 0,940 }
Solve for I
I=-\frac{500}{363}\approx -1,377410468
Assign I
I≔-\frac{500}{363}
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I=\frac{-1}{0,2\times 0,8\times 1,6+0,5\times 0,94}
Subtract 0,2 from -0,8 to get -1.
I=\frac{-1}{0,16\times 1,6+0,5\times 0,94}
Multiply 0,2 and 0,8 to get 0,16.
I=\frac{-1}{0,256+0,5\times 0,94}
Multiply 0,16 and 1,6 to get 0,256.
I=\frac{-1}{0,256+0,47}
Multiply 0,5 and 0,94 to get 0,47.
I=\frac{-1}{0,726}
Add 0,256 and 0,47 to get 0,726.
I=\frac{-1000}{726}
Expand \frac{-1}{0,726} by multiplying both numerator and the denominator by 1000.
I=-\frac{500}{363}
Reduce the fraction \frac{-1000}{726} to lowest terms by extracting and canceling out 2.
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