Tính: $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{{16}} + \frac{1}{{32}} + \frac{1}{{64}}$.

Ta có $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{{16}} + \frac{1}{{32}} + \frac{1}{{64}}$

$= \frac{{32}}{{64}} + \frac{{16}}{{64}} + \frac{8}{{64}} + \frac{4}{{64}} + \frac{2}{{64}} + \frac{1}{{64}}$

$= \frac{{32 + 16 + 8 + 4 + 2 + 1}}{{64}} = \frac{{63}}{{64}}$.