Solve 1/2.28{e}^-frac{1*1.6{3.84}}

$$\frac{ 1 }{ 2.28 } { e }^{ - \frac{ 1 \cdot 1.6 }{ 3.84 } }$$

Evaluate

$$\frac{25}{57e^{\frac{5}{12}}}\approx 0.289140627$$

Solution Steps

Expand \frac{1}{2.28} by multiplying both numerator and the denominator by 100.

$$\frac{100}{228}e^{-\frac{1\times 1.6}{3.84}}$$

Reduce the fraction \frac{100}{228} to lowest terms by extracting and canceling out 4.

$$\frac{25}{57}e^{-\frac{1\times 1.6}{3.84}}$$

Multiply 1 and 1.6 to get 1.6.

$$\frac{25}{57}e^{-\frac{1.6}{3.84}}$$

Expand \frac{1.6}{3.84} by multiplying both numerator and the denominator by 100.

$$\frac{25}{57}e^{-\frac{160}{384}}$$

Reduce the fraction \frac{160}{384} to lowest terms by extracting and canceling out 32.

$$\frac{25}{57}e^{-\frac{5}{12}}$$