\frac{3}{1.4}= \frac{1}{1} - \frac{1}{4} ... => BT = \frac{1}{1} - \frac{1}{4} + \frac{1}{4} - \frac{1}{7} + ... + \frac{1}{97} - \frac{1}{100}= 1 - 1/100 = 99/100
$\frac{3}{1.4}= \frac{1}{1} - \frac{1}{4} ...
$ $=> BT = \frac{1}{1} - \frac{1}{4} + \frac{1}{4} - \frac{1}{7} + ... + \frac{1}{97} - \frac{1}{100}
$$= 1 - 1/100 = 99/100
$