Solve 1/1*2-1/21*2^4

$$\frac { 1 } { 1 \times 2 } - \frac { 1 } { 21 \times 2 ^ { 4 } }$$

Evaluate

$$\frac{167}{336}\approx 0.49702381$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{1}{2}-\frac{1}{21\times 2^{4}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{1}{2}-\frac{1}{21\times 16}$$

Multiply 21 and 16 to get 336.

$$\frac{1}{2}-\frac{1}{336}$$

Least common multiple of 2 and 336 is 336. Convert \frac{1}{2} and \frac{1}{336} to fractions with denominator 336.

$$\frac{168}{336}-\frac{1}{336}$$

Since \frac{168}{336} and \frac{1}{336} have the same denominator, subtract them by subtracting their numerators.

$$\frac{168-1}{336}$$

Subtract 1 from 168 to get 167.

$$\frac{167}{336}$$

Factor

$$\frac{167}{2 ^ {4} \cdot 3 \cdot 7} = 0.49702380952380953$$