Solve 2-20+2/2^20

$$2- \frac{ 20+2 }{ { 2 }^{ 20 } }$$

Evaluate

$$\frac{1048565}{524288}=1.999979019$$

Solution Steps

Add 20 and 2 to get 22.

$$2-\frac{22}{2^{20}}$$

Calculate 2 to the power of 20 and get 1048576.

$$2-\frac{22}{1048576}$$

Reduce the fraction \frac{22}{1048576} to lowest terms by extracting and canceling out 2.

$$2-\frac{11}{524288}$$

Convert 2 to fraction \frac{1048576}{524288}.

$$\frac{1048576}{524288}-\frac{11}{524288}$$

Since \frac{1048576}{524288} and \frac{11}{524288} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1048576-11}{524288}$$

Subtract 11 from 1048576 to get 1048565.

$$\frac{1048565}{524288}$$

Factor

$$\frac{5 \cdot 7 \cdot 29959}{2 ^ {19}} = 1\frac{524277}{524288} = 1.999979019165039$$