[tex]1 + {2}^{7} \div ( {2}^{7} + 1) \: = 1 + \frac{ {2}^{7} }{ {2}^{7} + 1 } = 1 + \frac{128}{128 + 1} = \frac{128}{129} = \frac{257}{129} [/tex]
